Journal of Information and Optimization Sciences, ISSN 0252-2667, 10/2018, Volume 39, Issue 7, pp. 1483 - 1504

This study is devoted to the polynomial representation of the matrix pth root functions. The Fibonacci-Hörner decomposition of the matrix powers and some...

Primary 15A99 | Secondary 40A25 | Fibonacci-Hörner decomposition | Binet formula | Principal matrix pth root

Primary 15A99 | Secondary 40A25 | Fibonacci-Hörner decomposition | Binet formula | Principal matrix pth root

Journal Article

Integral Transforms and Special Functions, ISSN 1065-2469, 10/2017, Volume 28, Issue 10, pp. 703 - 709

In terms of the telescoping method, a new binomial identity is established. By applying the derivative operators, we derive several interesting harmonic number...

Secondary: 40A25 | derivative operator | Telescoping method | harmonic number identity | Primary: 05A19 | MATHEMATICS | MATHEMATICS, APPLIED | SUMS | Operators (mathematics) | Telescoping

Secondary: 40A25 | derivative operator | Telescoping method | harmonic number identity | Primary: 05A19 | MATHEMATICS | MATHEMATICS, APPLIED | SUMS | Operators (mathematics) | Telescoping

Journal Article

The Ramanujan Journal, ISSN 1382-4090, 10/2015, Volume 38, Issue 1, pp. 123 - 128

... constant · Asymptotic expansion
Mathematics Subject Classi cation Primary 41A60 · 40A25
1 Introduction
Ramanujan (see [ 1 , p. 531] and [ 6 , p. 276]) proposed...

Euler–Mascheroni constant | Fourier Analysis | Asymptotic expansion | Functions of a Complex Variable | Primary 41A60 | Harmonic numbers | Field Theory and Polynomials | Mathematics | Number Theory | 40A25 | Combinatorics | MATHEMATICS | Euler-Mascheroni constant

Euler–Mascheroni constant | Fourier Analysis | Asymptotic expansion | Functions of a Complex Variable | Primary 41A60 | Harmonic numbers | Field Theory and Polynomials | Mathematics | Number Theory | 40A25 | Combinatorics | MATHEMATICS | Euler-Mascheroni constant

Journal Article

The American Mathematical Monthly, ISSN 0002-9890, 05/2019, Volume 126, Issue 5, pp. 448 - 448

Journal Article

Integral Transforms and Special Functions, ISSN 1065-2469, 04/2013, Volume 24, Issue 4, pp. 324 - 330

By applying the derivative operators to Chu-Vandermonde convolution, several general harmonic number identities are established.

Secondary: 40A25 | derivative operator | harmonic number identity | Primary: 05A19 | Chu-Vandermonde convolution | Harmonics | Operators | Convolution | Derivatives | Integrals | Transforms

Secondary: 40A25 | derivative operator | harmonic number identity | Primary: 05A19 | Chu-Vandermonde convolution | Harmonics | Operators | Convolution | Derivatives | Integrals | Transforms

Journal Article

6.
Full Text
Chlodowsky type generalization of (p, q)-Szász operators involving Brenke type polynomials

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, ISSN 1578-7303, 10/2018, Volume 112, Issue 4, pp. 1443 - 1462

In this paper, we introduce a Chlodowsky variant of the Szász operators by means of the (p, q)-integers as well as of the (p, q)-Gaussian binomial...

Secondary 40A25 | Theoretical, Mathematical and Computational Physics | Weighted approximation | (p, q)$$ ( p , q ) -Szász type operators involving Brenke type polynomials | Mathematics | Primary 41A10 | 41A25 | 41A36 | 11B83 | Korovkin and Voronovskaja type approximation theorems | Mathematics, general | Applications of Mathematics | Rate of convergence | (p, q) -Szász type operators involving Brenke type polynomials | MATHEMATICS | (p, q)-Szasz type operators involving Brenke type polynomials | STATISTICAL CONVERGENCE | APPROXIMATION THEOREMS | VARIANT

Secondary 40A25 | Theoretical, Mathematical and Computational Physics | Weighted approximation | (p, q)$$ ( p , q ) -Szász type operators involving Brenke type polynomials | Mathematics | Primary 41A10 | 41A25 | 41A36 | 11B83 | Korovkin and Voronovskaja type approximation theorems | Mathematics, general | Applications of Mathematics | Rate of convergence | (p, q) -Szász type operators involving Brenke type polynomials | MATHEMATICS | (p, q)-Szasz type operators involving Brenke type polynomials | STATISTICAL CONVERGENCE | APPROXIMATION THEOREMS | VARIANT

Journal Article

The Ramanujan Journal, ISSN 1382-4090, 1/2018, Volume 45, Issue 1, pp. 73 - 94

... Subject Classiﬁcation Primary 05A19 · Secondary 40A25
1 Introduction
A harmonic number is a number of the form
H n =
n null
k=1
1
k
The rst author is supported...

Fourier Analysis | Secondary 40A25 | Functions of a Complex Variable | Difference operator | Harmonic numbers | Field Theory and Polynomials | Primary 05A19 | Abel’s transformation | Mathematics | Number Theory | Combinatorics | MATHEMATICS | IDENTITIES | Abel's transformation | SUMS

Fourier Analysis | Secondary 40A25 | Functions of a Complex Variable | Difference operator | Harmonic numbers | Field Theory and Polynomials | Primary 05A19 | Abel’s transformation | Mathematics | Number Theory | Combinatorics | MATHEMATICS | IDENTITIES | Abel's transformation | SUMS

Journal Article

Results in Mathematics, ISSN 1422-6383, 6/2012, Volume 61, Issue 3, pp. 209 - 221

... identities, which involve the classical harmonic
numbers and their variants.
Mathematics Subject Classiﬁcation (2000). Primary 05A19;
Secondary 40A25.
Keywords. Harmonic...

telescoping method | Secondary 40A25 | Catalan constant | Harmonic numbers | Primary 05A19 | Mathematics, general | Abel’s lemma on summation by parts | partial fraction decomposition | Mathematics | Abel's lemma on summation by parts | MATHEMATICS | MATHEMATICS, APPLIED | Statistics | Telescope

telescoping method | Secondary 40A25 | Catalan constant | Harmonic numbers | Primary 05A19 | Mathematics, general | Abel’s lemma on summation by parts | partial fraction decomposition | Mathematics | Abel's lemma on summation by parts | MATHEMATICS | MATHEMATICS, APPLIED | Statistics | Telescope

Journal Article

The American Mathematical Monthly, ISSN 0002-9890, 07/2018, Volume 125, Issue 6, pp. 554 - 557

We show how to modify the last term of the partial sum of an alternating series so as to get an upper bound on the limit better than the standard one obtained...

Primary 40A25 | MATHEMATICS

Primary 40A25 | MATHEMATICS

Journal Article

The American mathematical monthly, ISSN 1930-0972, 2018, Volume 125, Issue 3, pp. 245 - 256

We present an easily defined countable family of permutations of the natural numbers for which explicit rearrangements (i.e., the sums induced by the...

Primary 40A25 | MATHEMATICS

Primary 40A25 | MATHEMATICS

Journal Article

The American Mathematical Monthly, ISSN 0002-9890, 04/2018, Volume 125, Issue 4, pp. 360 - 364

We present a new proof of Johnsonbaugh's estimates for the error in an alternating series based on an idea of R. M. Young. We also use this same idea to prove...

Primary 40A05 | Secondary 40A25 | MATHEMATICS

Primary 40A05 | Secondary 40A25 | MATHEMATICS

Journal Article

Mediterranean Journal of Mathematics, ISSN 1660-5446, 10/2018, Volume 15, Issue 5, pp. 1 - 12

...), and then generalise to the case of
a norm-unital Banach algebra (Sect. 4).
Mathematics Subject Classiﬁcation. Primary: 40A25, 41A99, 46H99;
Secondary: 26D99, 47A50, 65D20...

Estimate | Mathematics | Hermitian element | Exponential function | 47A50 | Spectrum | 41A99 | 46H99 | 65D20 | Secondary: 26D99 | Banach algebra | Inequalities | Primary: 40A25 | Mathematics, general | Norm | Asymptotic approximation | Distance

Estimate | Mathematics | Hermitian element | Exponential function | 47A50 | Spectrum | 41A99 | 46H99 | 65D20 | Secondary: 26D99 | Banach algebra | Inequalities | Primary: 40A25 | Mathematics, general | Norm | Asymptotic approximation | Distance

Journal Article

Archiv der Mathematik, ISSN 0003-889X, 07/2009, Volume 93, Issue 1, pp. 37 - 45

We prove in this paper that for every x >= 0, root 2 pi e . e(-omega) (x + omega/e) (x + 1/2) < Gamma (x + 1) <= alpha . root 2 pi e . e(-omega) (x + omega/e)...

Secondary 26D07 | Mathematics Subject Classification : Primary: 40A25 | MATHEMATICS | Factorial function | Digamma function | Stirling's formula | Gamma function | Numeric series | Burnside's formula and inequalities

Secondary 26D07 | Mathematics Subject Classification : Primary: 40A25 | MATHEMATICS | Factorial function | Digamma function | Stirling's formula | Gamma function | Numeric series | Burnside's formula and inequalities

Journal Article

Integral Transforms and Special Functions, ISSN 1065-2469, 03/2014, Volume 25, Issue 3, pp. 203 - 214

In terms of the telescoping method, a simple binomial sum is given. By applying the derivative operators to the equation just mentioned, we establish several...

Secondary: 40A25 | telescoping method | derivative operator | harmonic number identity | Primary: 05A19 | MATHEMATICS | MATHEMATICS, APPLIED | Binomials

Secondary: 40A25 | telescoping method | derivative operator | harmonic number identity | Primary: 05A19 | MATHEMATICS | MATHEMATICS, APPLIED | Binomials

Journal Article

Results in Mathematics, ISSN 1422-6383, 3/2018, Volume 73, Issue 1, pp. 1 - 14

...) are established
as consequences.
Mathematics Subject Classiﬁcation. Primary 05A19; Secondary 40A25.
Keywords. Abel’s lemma on summation by parts, harmonic numbers...

Secondary 40A25 | generalized harmonic numbers | Primary 05A19 | Mathematics, general | Abel’s lemma on summation by parts | partial fraction decomposition | Mathematics | harmonic numbers | MATHEMATICS | MATHEMATICS, APPLIED | IDENTITIES | Abel's lemma on summation by parts | SUMMATION

Secondary 40A25 | generalized harmonic numbers | Primary 05A19 | Mathematics, general | Abel’s lemma on summation by parts | partial fraction decomposition | Mathematics | harmonic numbers | MATHEMATICS | MATHEMATICS, APPLIED | IDENTITIES | Abel's lemma on summation by parts | SUMMATION

Journal Article

Integral Transforms and Special Functions, ISSN 1065-2469, 09/2015, Volume 26, Issue 9, pp. 667 - 677

In terms of the derivative operator and a binomial sum from the telescoping method, we establish a family of summation formulae involving harmonic numbers....

Secondary: 40A25 | telescoping method | harmonic numbers | derivative operator | Primary: 05A19 | MATHEMATICS | MATHEMATICS, APPLIED | Harmonics | Telescoping | Operators | Integrals | Transforms | Derivatives | Binomials

Secondary: 40A25 | telescoping method | harmonic numbers | derivative operator | Primary: 05A19 | MATHEMATICS | MATHEMATICS, APPLIED | Harmonics | Telescoping | Operators | Integrals | Transforms | Derivatives | Binomials

Journal Article

Integral Transforms and Special Functions, ISSN 1065-2469, 12/2015, Volume 26, Issue 12, pp. 971 - 984

By means of the partial fraction decomposition method, we establish some summations of generalized q-harmonic numbers with finite series. We further explore...

Secondary: 40A25 | partial fraction decomposition method | summation identities | generalized q-harmonic number | Primary: 05A19 | MATHEMATICS | MATHEMATICS, APPLIED | Harmonics | Integrals | Lists | Mathematical analysis | Transforms | Series (mathematics) | Decomposition

Secondary: 40A25 | partial fraction decomposition method | summation identities | generalized q-harmonic number | Primary: 05A19 | MATHEMATICS | MATHEMATICS, APPLIED | Harmonics | Integrals | Lists | Mathematical analysis | Transforms | Series (mathematics) | Decomposition

Journal Article

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, ISSN 0025-5858, 4/2015, Volume 85, Issue 1, pp. 23 - 41

For positives integers
$$\alpha _{1}, \alpha _{2}, \ldots , \alpha _{r}$$
α
1
,
α
2
,
…
,
α
r
with
$$\alpha _{r} \ge 2$$
α
r
≥
2
, the multiple zeta value or...

33E99 | Weighted sum formula | Multiple zeta values | Mathematics | Topology | Geometry | Algebra | Secondary 11M99 | 40B05 | Mathematics, general | Number Theory | Differential Geometry | Drinfeld integral | Shuffle product | Primary 40A25 | MATHEMATICS

33E99 | Weighted sum formula | Multiple zeta values | Mathematics | Topology | Geometry | Algebra | Secondary 11M99 | 40B05 | Mathematics, general | Number Theory | Differential Geometry | Drinfeld integral | Shuffle product | Primary 40A25 | MATHEMATICS

Journal Article

Archiv der Mathematik, ISSN 0003-889X, 10/2008, Volume 91, Issue 4, pp. 330 - 338

For positive integers
$$\alpha_{1}, \alpha_{2}, \ldots ,\alpha_{r}$$
with a
r
= 2, the multiple zeta value or r-fold Euler sum is defined as [2]
$$ \varsigma...

sum formula | Secondary 11M99, 33E99 | multiple zeta values | Euler sums | Mathematics, general | Primary 40A25, 40B05 | Mathematics | Drinfeld integral | Multiple zeta values | Sum formula | MATHEMATICS

sum formula | Secondary 11M99, 33E99 | multiple zeta values | Euler sums | Mathematics, general | Primary 40A25, 40B05 | Mathematics | Drinfeld integral | Multiple zeta values | Sum formula | MATHEMATICS

Journal Article

Journal of Difference Equations and Applications, ISSN 1023-6198, 12/2008, Volume 14, Issue 12, pp. 1279 - 1287

We consider the number π coth π which is transcendental in view of algebraic independence of π and e
π
(due to Nesterenko's work in 1996). Studying certain...

Secondary 33C20, 40A25 | rational function | hypergeometric series | Zeilberger's algorithm | Primary 11J70, 11B37, 39A05 | Continued fraction | Hypergeometric series | Rational function

Secondary 33C20, 40A25 | rational function | hypergeometric series | Zeilberger's algorithm | Primary 11J70, 11B37, 39A05 | Continued fraction | Hypergeometric series | Rational function

Journal Article

No results were found for your search.

Cannot display more than 1000 results, please narrow the terms of your search.