Applied Mathematics and Computation, ISSN 0096-3003, 10/2014, Volume 244, pp. 149 - 157

The main objective in this paper is first to establish new identities for the λ-Stirling type numbers of the second kind, the λ-array type polynomials, the...

Bernoulli polynomials and Bernoulli numbers | Apostol–Bernoulli polynomials and Apostol–Bernoulli numbers | [formula omitted]-Stirling numbers of the second kind | [formula omitted]-Array polynomials | [formula omitted]-Bell numbers and [formula omitted]-Bell polynomials | λ-Bell numbers and λ-Bell polynomials | λ-Array polynomials | λ-Stirling numbers of the second kind | Apostol-Bernoulli polynomials and Apostol-Bernoulli numbers | MATHEMATICS, APPLIED | lambda-Array polynomials | lambda-Stirling numbers of the second kind | lambda-Bell numbers and lambda-Bell polynomials | APOSTOL-BERNOULLI | GENERATING-FUNCTIONS | EULER

Bernoulli polynomials and Bernoulli numbers | Apostol–Bernoulli polynomials and Apostol–Bernoulli numbers | [formula omitted]-Stirling numbers of the second kind | [formula omitted]-Array polynomials | [formula omitted]-Bell numbers and [formula omitted]-Bell polynomials | λ-Bell numbers and λ-Bell polynomials | λ-Array polynomials | λ-Stirling numbers of the second kind | Apostol-Bernoulli polynomials and Apostol-Bernoulli numbers | MATHEMATICS, APPLIED | lambda-Array polynomials | lambda-Stirling numbers of the second kind | lambda-Bell numbers and lambda-Bell polynomials | APOSTOL-BERNOULLI | GENERATING-FUNCTIONS | EULER

Journal Article

Applied Mathematics and Computation, ISSN 0096-3003, 04/2014, Volume 232, pp. 132 - 143

In this paper we derive q-analogues of the multiparameter non-central Stirling numbers of the first and second kind, introduced by El-Desouky. Moreover,...

[formula omitted]-Analogue | Harmonic numbers | Comtet numbers | Stirling numbers | Multiparameter non-central Stirling numbers | [formula omitted]-Stirling numbers | Generalized [formula omitted]-harmonic numbers | q-Stirling numbers | Generalized q-harmonic numbers | q-Analogue | MATHEMATICS, APPLIED | Statistics | Algorithms | Electrical engineering | Harmonics | Matrix representation | Computation | Mathematical analysis | Mathematical models | Joints | Combinatorial analysis

[formula omitted]-Analogue | Harmonic numbers | Comtet numbers | Stirling numbers | Multiparameter non-central Stirling numbers | [formula omitted]-Stirling numbers | Generalized [formula omitted]-harmonic numbers | q-Stirling numbers | Generalized q-harmonic numbers | q-Analogue | MATHEMATICS, APPLIED | Statistics | Algorithms | Electrical engineering | Harmonics | Matrix representation | Computation | Mathematical analysis | Mathematical models | Joints | Combinatorial analysis

Journal Article

Mathematical and Computer Modelling, ISSN 0895-7177, 2011, Volume 54, Issue 9, pp. 2220 - 2234

Harmonic numbers and generalized harmonic numbers have been studied since the distant past and are involved in a wide range of diverse fields such as analysis...

Stirling numbers of the first kind | Generalized hypergeometric function [formula omitted] | Harmonic numbers | Polygamma functions | Generalized harmonic numbers | Riemann Zeta function | Psi function | Hurwitz Zeta function | Summation formulas for [formula omitted] | Riemann zeta function | Summation formulas for pfq | Generalized hypergeometric function pfq | Hurwitz zeta function | INFINITE SERIES | MATHEMATICS, APPLIED | IDENTITIES | HYPERGEOMETRIC-SERIES | GENERATING-FUNCTIONS | RIEMANN ZETA | Generalized hypergeometric function F-p(q) | SUMS | INTEGRALS | COMPUTER SCIENCE, SOFTWARE ENGINEERING | ZETA-FUNCTION | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | SERIES REPRESENTATIONS | Summation formulas for F-p(q) | Statistics | Analysis | Algorithms

Stirling numbers of the first kind | Generalized hypergeometric function [formula omitted] | Harmonic numbers | Polygamma functions | Generalized harmonic numbers | Riemann Zeta function | Psi function | Hurwitz Zeta function | Summation formulas for [formula omitted] | Riemann zeta function | Summation formulas for pfq | Generalized hypergeometric function pfq | Hurwitz zeta function | INFINITE SERIES | MATHEMATICS, APPLIED | IDENTITIES | HYPERGEOMETRIC-SERIES | GENERATING-FUNCTIONS | RIEMANN ZETA | Generalized hypergeometric function F-p(q) | SUMS | INTEGRALS | COMPUTER SCIENCE, SOFTWARE ENGINEERING | ZETA-FUNCTION | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | SERIES REPRESENTATIONS | Summation formulas for F-p(q) | Statistics | Analysis | Algorithms

Journal Article

Discrete Mathematics, ISSN 0012-365X, 07/2015, Volume 338, Issue 7, pp. 1067 - 1074

We derive a combinatorial equilibrium for bounded juggling patterns with a random, q-geometric throw distribution. The dynamics are analyzed via rook...

Markov process | Combinatorial stationary distribution | Ferrers board | [formula omitted]-Stirling number | Juggling pattern | q-Stirling number | POLYNOMIALS | MATHEMATICS | Q-STIRLING NUMBERS | SEQUENCES

Markov process | Combinatorial stationary distribution | Ferrers board | [formula omitted]-Stirling number | Juggling pattern | q-Stirling number | POLYNOMIALS | MATHEMATICS | Q-STIRLING NUMBERS | SEQUENCES

Journal Article

Integral Transforms and Special Functions, ISSN 1065-2469, 04/2016, Volume 27, Issue 4, pp. 259 - 267

The asymptotic behaviour of the Chebyshev-Stirling numbers of the second kind, a special case of the Jacobi-Stirling numbers, has been established in a recent...

Chebyshev-Stirling numbers | Riemann zeta function | 05E05 | 11B75 | Jacobi-Stirling numbers | Asymptotics | 05A16 | Chebyshev–Stirling numbers | Jacobi–Stirling numbers | POLYNOMIALS | MATHEMATICS | MATHEMATICS, APPLIED | NORMALITY | FORMULA | Probability | Chebyshev approximation | Paper | Integrals | Asymptotic properties | Transforms | Images

Chebyshev-Stirling numbers | Riemann zeta function | 05E05 | 11B75 | Jacobi-Stirling numbers | Asymptotics | 05A16 | Chebyshev–Stirling numbers | Jacobi–Stirling numbers | POLYNOMIALS | MATHEMATICS | MATHEMATICS, APPLIED | NORMALITY | FORMULA | Probability | Chebyshev approximation | Paper | Integrals | Asymptotic properties | Transforms | Images

Journal Article

Discrete Mathematics, ISSN 0012-365X, 08/2012, Volume 312, Issue 15, pp. 2337 - 2348

Let G be a finite group of order m≥1. A Dowling lattice Qn(G) is the geometric lattice of rank n over G. In this paper, we define the r-Whitney numbers of the...

Lah numbers | Whitney numbers | Dowling lattice | [formula omitted]-Stirling numbers | Dowling polynomials | Riordan group | r-Stirling numbers | MATHEMATICS | RIORDAN ARRAYS | Statistics | Questions and answers

Lah numbers | Whitney numbers | Dowling lattice | [formula omitted]-Stirling numbers | Dowling polynomials | Riordan group | r-Stirling numbers | MATHEMATICS | RIORDAN ARRAYS | Statistics | Questions and answers

Journal Article

Discrete Mathematics, ISSN 0012-365X, 08/2012, Volume 312, Issue 15, pp. 2197 - 2202

We obtain explicit formulas that express the complete homogeneous symmetric polynomials of the sequence of partial sums sk of a sequence xk as polynomials in...

Legendre–Stirling numbers | Symmetric polynomials | Gaussian coefficients | Generalized Stirling numbers | [formula omitted]-Stirling numbers | q-Stirling numbers | Legendre-Stirling numbers | MATHEMATICS | DIVIDED DIFFERENCES | PASCAL MATRICES

Legendre–Stirling numbers | Symmetric polynomials | Gaussian coefficients | Generalized Stirling numbers | [formula omitted]-Stirling numbers | q-Stirling numbers | Legendre-Stirling numbers | MATHEMATICS | DIVIDED DIFFERENCES | PASCAL MATRICES

Journal Article

Indagationes Mathematicae, ISSN 0019-3577, 03/2019, Volume 30, Issue 2, pp. 365 - 374

In this paper, we first consider a generalization of Kim’s p-adic q-integral on Zp including parameters α and β. By using this integral, we introduce the...

Daehee polynomials | [formula omitted]-Daehee polynomials | [formula omitted]-adic number | Bernoulli polynomials | [formula omitted]-calculus | [formula omitted]-adic [formula omitted]-integral on [formula omitted] | Stirling numbers | p-adic q-integral on Z | p-adic number | q-Daehee polynomials | q-calculus | MATHEMATICS | p-adic q-integral on Z(p) | Polynomials | Integrals | Combinatorial analysis | Weight

Daehee polynomials | [formula omitted]-Daehee polynomials | [formula omitted]-adic number | Bernoulli polynomials | [formula omitted]-calculus | [formula omitted]-adic [formula omitted]-integral on [formula omitted] | Stirling numbers | p-adic q-integral on Z | p-adic number | q-Daehee polynomials | q-calculus | MATHEMATICS | p-adic q-integral on Z(p) | Polynomials | Integrals | Combinatorial analysis | Weight

Journal Article

Journal of Combinatorial Theory, Series A, ISSN 0097-3165, 2009, Volume 116, Issue 3, pp. 539 - 563

[E. Steingrímsson, Statistics on ordered partitions of sets, arXiv: math.CO/0605670] introduced several hard statistics on ordered set partitions and...

[formula omitted]-Stirling numbers of the second kind | Block major index | Inversion | Major index | Path diagrams | Block inversion number | σ-Partitions | Euler–Mahonian statistics | Ordered set partitions | Euler-Mahonian statistics | p, q-Stirling numbers of the second kind | Q-STIRLING NUMBERS | MATHEMATICS | PERMUTATIONS | sigma-Partitions | RESTRICTED GROWTH FUNCTIONS | Combinatorics | Mathematics

[formula omitted]-Stirling numbers of the second kind | Block major index | Inversion | Major index | Path diagrams | Block inversion number | σ-Partitions | Euler–Mahonian statistics | Ordered set partitions | Euler-Mahonian statistics | p, q-Stirling numbers of the second kind | Q-STIRLING NUMBERS | MATHEMATICS | PERMUTATIONS | sigma-Partitions | RESTRICTED GROWTH FUNCTIONS | Combinatorics | Mathematics

Journal Article

10.
Full Text
q-poly-Bernoulli numbers and q-poly-Cauchy numbers with a parameter by Jackson’s integrals

Indagationes Mathematicae, ISSN 0019-3577, 01/2016, Volume 27, Issue 1, pp. 100 - 111

We define q-poly-Bernoulli polynomials Bn,ρ,q(k)(z) with a parameter ρ, q-poly-Cauchy polynomials of the first kind cn,ρ,q(k)(z) and of the second kind...

[formula omitted]-poly-Bernoulli polynomials | Jackson’s integrals | Bernoulli numbers | [formula omitted]-poly-Cauchy polynomials | Cauchy numbers | Weighted Stirling numbers

[formula omitted]-poly-Bernoulli polynomials | Jackson’s integrals | Bernoulli numbers | [formula omitted]-poly-Cauchy polynomials | Cauchy numbers | Weighted Stirling numbers

Journal Article

Discrete Mathematics, ISSN 0012-365X, 10/2013, Volume 313, Issue 20, pp. 2127 - 2138

Stirling numbers and Bessel numbers have a long history, and both have been generalized in a variety of directions. Here, we present a second level...

Partitions | [formula omitted]-Permutations | Telephone exchange | Riordan matrices | Stirling numbers | Bessel numbers | Semi-bipartite | G-Permutations | MATHEMATICS | Frames | Joining | Inverse | Mathematical analysis | Combinatorial analysis | Preserves

Partitions | [formula omitted]-Permutations | Telephone exchange | Riordan matrices | Stirling numbers | Bessel numbers | Semi-bipartite | G-Permutations | MATHEMATICS | Frames | Joining | Inverse | Mathematical analysis | Combinatorial analysis | Preserves

Journal Article

Graphs and Combinatorics, ISSN 0911-0119, 3/2016, Volume 32, Issue 2, pp. 745 - 772

In this note we consider $$s$$ s -chromatic polynomials for finite simplicial complexes. When $$s=1$$ s = 1 , the $$1$$ 1 -chromatic polynomial is just the...

05C31 | s$$ s -chromatic polynomial | s$$ s -Stirling number of second kind | Mathematics | Engineering Design | Combinatorics | s$$ s -chromatic lattice | Vertex coloring of simplicial complex | Möbius function | 05C15 | (Formula presented.) -chromatic polynomial | (Formula presented.) -Stirling number of second kind | (Formula presented.) -chromatic lattice | s-Stirling number of second kind | MATHEMATICS | s-chromatic lattice | TRIANGULATION | NUMBERS | 3-SPHERE | Mobius function | s-chromatic polynomial | CONJECTURE | Texts | Graphs | Polynomials | Mathematical analysis | Combinatorial analysis | Mathematics - Combinatorics

05C31 | s$$ s -chromatic polynomial | s$$ s -Stirling number of second kind | Mathematics | Engineering Design | Combinatorics | s$$ s -chromatic lattice | Vertex coloring of simplicial complex | Möbius function | 05C15 | (Formula presented.) -chromatic polynomial | (Formula presented.) -Stirling number of second kind | (Formula presented.) -chromatic lattice | s-Stirling number of second kind | MATHEMATICS | s-chromatic lattice | TRIANGULATION | NUMBERS | 3-SPHERE | Mobius function | s-chromatic polynomial | CONJECTURE | Texts | Graphs | Polynomials | Mathematical analysis | Combinatorial analysis | Mathematics - Combinatorics

Journal Article

Discrete Applied Mathematics, ISSN 0166-218X, 02/2019, Volume 255, pp. 222 - 233

T. A. Dowling introduced Whitney numbers of the first and second kinds concerning the so-called Dowling lattices of finite groups. It turned out that they are...

[formula omitted]-Whitney–Lah numbers | [formula omitted]-Whitney numbers | r-Whitney numbers | r-Whitney–Lah numbers | MATHEMATICS, APPLIED | CONCAVITY | r-Whitney-Lah numbers | Lattices | Combinatorial analysis

[formula omitted]-Whitney–Lah numbers | [formula omitted]-Whitney numbers | r-Whitney numbers | r-Whitney–Lah numbers | MATHEMATICS, APPLIED | CONCAVITY | r-Whitney-Lah numbers | Lattices | Combinatorial analysis

Journal Article

International Journal of Mathematical Education in Science and Technology, ISSN 0020-739X, 02/2017, Volume 48, Issue 2, pp. 267 - 277

In this note, we revisit the problem of polynomial interpolation and explicitly construct two polynomials in n of degree k + 1, P k (n) and Q k (n), such that...

Eulerian numbers | recurrence relation | sums of powers of integers | D-numbers | Stirling numbers of the second kind | Polynomial interpolation | Numbers | Algebra | Mathematical Formulas | Mathematics Instruction | Equations (Mathematics) | Geometric Concepts | Mathematics Education | Mathematics

Eulerian numbers | recurrence relation | sums of powers of integers | D-numbers | Stirling numbers of the second kind | Polynomial interpolation | Numbers | Algebra | Mathematical Formulas | Mathematics Instruction | Equations (Mathematics) | Geometric Concepts | Mathematics Education | Mathematics

Journal Article

2012, ISBN 9780123852182

This chapter elaborates the definitions and notations of some special functions, polynomials, and numbers. The special functions include the gamma, beta, the...

Euler polynomials and numbers | Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials | Multiple Gamma functions | Asymptotic expansion for [formula omitted] | Generalized Euler polynomials and numbers | Asymptotic formula for the Gamma function | Gamma function | Euler-Mascheroni constant γ | Generalized (or Hurwitz) Zeta function [formula omitted] | Chu-Vandermonde theorem | Tchebycheff polynomials of the first and second kind | Gegenbauer (or ultraspherical) polynomials | p-adic L-functions | Generalized harmonic numbers of order [formula omitted] | Glaisher-Kinkelin constant A | Inequalities for the Gamma function and the double Gamma function | Bohr-Mollerup theorem | Jacobi polynomials | Bernoulli polynomials and numbers | Gauss hypergeometric function | Generalizations and unified presentations of the Apostol type polynomials | Kummer's expression for [formula omitted] | Pochhammer symbol [formula omitted] | Chu-Vandermonde summation formula | Struve functions | Generalized Bernoulli polynomials and numbers | Mellin-Barnes contour integral representation | Gauss's formulas for [formula omitted] | Legendre functions of the first and second kind | Euler-Maclaurin summation formula | Polygamma functions | Psi (or Digamma) function | Complete Elliptic integrals of the first and second kind | Harmonic numbers [formula omitted] | Error function [formula omitted] (probability integral) | Determinants of the Laplacians | Residue Calculus | Triple Gamma function | p-adic analytic extension | Generating functions | Whittaker function of the first kind | Stirling's formula for n! and its generalizations | Incomplete Beta functions | Series associated with the Zeta and related functions | Legendre's duplication formula and Gauss's multiplication formula for the Gamma function | Beta function | Hermite polynomials | Stirling numbers of the first and second kind | Double Gamma function | Laguerre functions and polynomials | Dufresnoy-Pisot theorem | Bessel functions | Lommel functions | Confluent hypergeometric function | Logarithmic convexity | n-ple Hurwitz Zeta functions | Generalized (Gauss and Kummer) hypergeometric function [formula omitted] | Poisson–Charlier polynomials | Incomplete Gamma function | Genocchi polynomials and numbers

Euler polynomials and numbers | Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials | Multiple Gamma functions | Asymptotic expansion for [formula omitted] | Generalized Euler polynomials and numbers | Asymptotic formula for the Gamma function | Gamma function | Euler-Mascheroni constant γ | Generalized (or Hurwitz) Zeta function [formula omitted] | Chu-Vandermonde theorem | Tchebycheff polynomials of the first and second kind | Gegenbauer (or ultraspherical) polynomials | p-adic L-functions | Generalized harmonic numbers of order [formula omitted] | Glaisher-Kinkelin constant A | Inequalities for the Gamma function and the double Gamma function | Bohr-Mollerup theorem | Jacobi polynomials | Bernoulli polynomials and numbers | Gauss hypergeometric function | Generalizations and unified presentations of the Apostol type polynomials | Kummer's expression for [formula omitted] | Pochhammer symbol [formula omitted] | Chu-Vandermonde summation formula | Struve functions | Generalized Bernoulli polynomials and numbers | Mellin-Barnes contour integral representation | Gauss's formulas for [formula omitted] | Legendre functions of the first and second kind | Euler-Maclaurin summation formula | Polygamma functions | Psi (or Digamma) function | Complete Elliptic integrals of the first and second kind | Harmonic numbers [formula omitted] | Error function [formula omitted] (probability integral) | Determinants of the Laplacians | Residue Calculus | Triple Gamma function | p-adic analytic extension | Generating functions | Whittaker function of the first kind | Stirling's formula for n! and its generalizations | Incomplete Beta functions | Series associated with the Zeta and related functions | Legendre's duplication formula and Gauss's multiplication formula for the Gamma function | Beta function | Hermite polynomials | Stirling numbers of the first and second kind | Double Gamma function | Laguerre functions and polynomials | Dufresnoy-Pisot theorem | Bessel functions | Lommel functions | Confluent hypergeometric function | Logarithmic convexity | n-ple Hurwitz Zeta functions | Generalized (Gauss and Kummer) hypergeometric function [formula omitted] | Poisson–Charlier polynomials | Incomplete Gamma function | Genocchi polynomials and numbers

Book Chapter

Advances in Difference Equations, ISSN 1687-1839, 12/2013, Volume 2013, Issue 1, pp. 1 - 10

Recently, Tremblay, Gaboury and Fugère introduced a class of the generalized Bernoulli polynomials (see Tremblay in Appl. Math. Let. 24:1888-1893, 2011). In...

Jacobi polynomials | Bernoulli, Euler and Genocchi polynomials | generating functions | Mathematics | Ordinary Differential Equations | Functional Analysis | Laguerre polynomials | Analysis | generalized Apostol-Euler and Apostol-Bernoulli polynomials | Difference and Functional Equations | Mathematics, general | Hermite polynomials | Stirling numbers of the second kind | Partial Differential Equations | Generating functions | Bernoulli-Euler and Genocchi polynomials | Generalized Apostol-Euler and Apostol-Bernoulli polynomials | FOURIER EXPANSIONS | MATHEMATICS, APPLIED | BERNOULLI POLYNOMIALS | MATHEMATICS | GENOCCHI POLYNOMIALS | MULTIPLICATION FORMULAS | Technology application | Usage | Euler angles | Differential equations | Inequalities (Mathematics) | Mathematical optimization

Jacobi polynomials | Bernoulli, Euler and Genocchi polynomials | generating functions | Mathematics | Ordinary Differential Equations | Functional Analysis | Laguerre polynomials | Analysis | generalized Apostol-Euler and Apostol-Bernoulli polynomials | Difference and Functional Equations | Mathematics, general | Hermite polynomials | Stirling numbers of the second kind | Partial Differential Equations | Generating functions | Bernoulli-Euler and Genocchi polynomials | Generalized Apostol-Euler and Apostol-Bernoulli polynomials | FOURIER EXPANSIONS | MATHEMATICS, APPLIED | BERNOULLI POLYNOMIALS | MATHEMATICS | GENOCCHI POLYNOMIALS | MULTIPLICATION FORMULAS | Technology application | Usage | Euler angles | Differential equations | Inequalities (Mathematics) | Mathematical optimization

Journal Article

Acta Applicandae Mathematicae, ISSN 0167-8019, 2/2010, Volume 109, Issue 2, pp. 413 - 437

Via a graphical method, which codes tree diagrams composed of partitions, a novel power series expansion is derived for the reciprocal of the logarithmic...

Theoretical, Mathematical and Computational Physics | Divergent series | Mathematics | Hurst’s formula | Statistical Physics, Dynamical Systems and Complexity | Soldner’s constant | Convergence | Stirling numbers of the first kind | Partitions | Power series expansions | Equivalence | Tree diagram | Euler’s constant | Harmonic numbers | Mechanics | Mathematics, general | Computer Science, general | Reciprocal logarithm numbers | Regularization | Recursion relation | Soldner's constant | Euler's constant | Hurst's formula | MATHEMATICS, APPLIED | ASYMPTOTICS | Statistics | Universities and colleges | Studies | Eulers equations | Harmonic analysis

Theoretical, Mathematical and Computational Physics | Divergent series | Mathematics | Hurst’s formula | Statistical Physics, Dynamical Systems and Complexity | Soldner’s constant | Convergence | Stirling numbers of the first kind | Partitions | Power series expansions | Equivalence | Tree diagram | Euler’s constant | Harmonic numbers | Mechanics | Mathematics, general | Computer Science, general | Reciprocal logarithm numbers | Regularization | Recursion relation | Soldner's constant | Euler's constant | Hurst's formula | MATHEMATICS, APPLIED | ASYMPTOTICS | Statistics | Universities and colleges | Studies | Eulers equations | Harmonic analysis

Journal Article

Bulletin of the Malaysian Mathematical Sciences Society, ISSN 0126-6705, 2013, Volume 36, Issue 2, pp. 465 - 479

The present paper deals with multiplication formulas for the Apostol-Genocchi polynomials of higher order and deduces some explicit recursive formulas. Some...

Raabe's multiplication formula | Euler numbers and polynomials | Bernoulli numbers and polynomials | Multiplication formula | Stirling numbers | Apostol-Genocchi numbers and polynomials (of higher order) | Generalization of Genocchi numbers and polynomials | BERNOULLI NUMBERS | generalization of Genocchi numbers and polynomials | MATHEMATICS | multiplication formula | ZETA | EULER POLYNOMIALS | EXPLICIT FORMULAS | Q-EXTENSION

Raabe's multiplication formula | Euler numbers and polynomials | Bernoulli numbers and polynomials | Multiplication formula | Stirling numbers | Apostol-Genocchi numbers and polynomials (of higher order) | Generalization of Genocchi numbers and polynomials | BERNOULLI NUMBERS | generalization of Genocchi numbers and polynomials | MATHEMATICS | multiplication formula | ZETA | EULER POLYNOMIALS | EXPLICIT FORMULAS | Q-EXTENSION

Journal Article

Advances in Applied Mathematics, ISSN 0196-8858, 2007, Volume 38, Issue 2, pp. 258 - 266

We present two extensions of the linear bound, due to Marcus and Tardos, on the number of 1-entries in an n × n ( 0 , 1 ) -matrix avoiding a fixed permutation...

Stanley–Wilf conjecture | Ordered hypergraph | [formula omitted]-Matrix | Extremal theory | Stanley-Wilf conjecture | (0, 1)-Matrix | extremal theory | MATHEMATICS, APPLIED | (0.1)-matrix | MATRICES | ordered hypergraph | PARTITIONS

Stanley–Wilf conjecture | Ordered hypergraph | [formula omitted]-Matrix | Extremal theory | Stanley-Wilf conjecture | (0, 1)-Matrix | extremal theory | MATHEMATICS, APPLIED | (0.1)-matrix | MATRICES | ordered hypergraph | PARTITIONS

Journal Article

AKCE International Journal of Graphs and Combinatorics, ISSN 0972-8600, 04/2016, Volume 13, Issue 1, pp. 38 - 53

A k-ranking of a directed graph G is a labeling of the vertex set of G with k positive integers such that every directed path connecting two vertices with the...

Directed path | Adjacency matrix | K-ranking | Directed cycle | Sierpinski triangle | k-ranking

Directed path | Adjacency matrix | K-ranking | Directed cycle | Sierpinski triangle | k-ranking

Journal Article

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