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Computers and Mathematics with Applications, ISSN 0898-1221, 2006, Volume 51, Issue 3, pp. 631 - 642
Journal Article
Mathematical Methods in the Applied Sciences, ISSN 0170-4214, 05/2017, Volume 40, Issue 7, pp. 2347 - 2361
Journal Article
Aequationes mathematicae, ISSN 0001-9054, 12/2017, Volume 91, Issue 6, pp. 1055 - 1071
In this paper we introduce restricted r-Stirling numbers of the first kind. Together with restricted r-Stirling numbers of the second kind and the associated... 
Combinatorial identities | Generating function | Mathematics | Secondary 11B68 | Primary 11B83 | Analysis | Poly-Bernoulli numbers | 11B73 | 05A19 | Combinatorics | Incomplete r -Stirling numbers | 05A15 | Poly-Cauchy numbers | Incomplete r-Stirling numbers | POLYNOMIALS | MATHEMATICS | MATHEMATICS, APPLIED | BESSEL NUMBERS | COMBINATORICS
Journal Article
Journal of Number Theory, ISSN 0022-314X, 11/2016, Volume 168, pp. 117 - 127
The Delannoy numbers and Schröder numbers are given byDn=∑k=0n(nk)(n+kk)andSn=∑k=0n(nk)(n+kk)1k+1, respectively. Let p>3 be a prime. We mainly prove... 
Delannoy numbers | Schröder numbers | Bernoulli numbers | Supercongruence | POLYNOMIALS | MATHEMATICS | Schroder numbers | CONGRUENCES
Journal Article
Publicationes Mathematicae, ISSN 0033-3883, 2016, Volume 88, Issue 3-4, pp. 357 - 368
Journal Article
Applicable Analysis and Discrete Mathematics, ISSN 1452-8630, 4/2018, Volume 12, Issue 1, pp. 1 - 35
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2006, Volume 324, Issue 2, pp. 790 - 804
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 10/2015, Volume 268, pp. 844 - 858
In the paper, by induction, the Faà di Bruno formula, and some techniques in the theory of complex functions, the author finds explicit formulas for higher... 
Bell polynomial of the second kind | Tangent number | Bernoulli number | Explicit formula | Derivative polynomial | Euler polynomial | MATHEMATICS, APPLIED | BERNOULLI NUMBERS | INEQUALITIES | IDENTITIES | COMPLETE MONOTONICITY | STIRLING NUMBERS | POLYNOMIALS | EXPLICIT FORMULAS | INTEGRAL-REPRESENTATION | 2ND KIND | 1ST KIND
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 02/2011, Volume 217, Issue 12, pp. 5702 - 5728
Journal Article
Mediterranean Journal of Mathematics, ISSN 1660-5446, 06/2017, Volume 14, Issue 3, p. 1
In this paper we introduce a q-analogue of the incomplete poly-Bernoulli numbers and incomplete poly-Cauchy numbers by using the q-Hurwitz-Lerch zeta Function.... 
generating function | incomplete poly-Cauchy numbers | q-Hurwitz–Lerch zeta function | combinatorial identities | Incomplete poly-Bernoulli numbers | MATHEMATICS | MATHEMATICS, APPLIED | q-Hurwitz-Lerch zeta function
Journal Article
Kyushu Journal of Mathematics, ISSN 1340-6116, 2013, Volume 67, Issue 1, pp. 143 - 153
We define the poly-Cauchy numbers by generalizing the Cauchy numbers of the first kind (the Bernoulli numbers of the second kind when divided by a factorial).... 
poly-Cauchy numbers | Bernoulli numbers | Cauchy numbers | poly-Bernoulli numbers | Poly-bernoulli numbers | Poly-cauchy numbers | MATHEMATICS
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 10/2018, Volume 334, pp. 288 - 294
The main purpose of this paper is using the elementary method and the properties of trigonometric functions to study the computational problem of one kind... 
Dirichlet L-functions | Trigonometric sums | Computational formula | Bernoulli numbers | Identity
Journal Article
Monatshefte für Mathematik, ISSN 0026-9255, 6/2016, Volume 180, Issue 2, pp. 271 - 288
By using the restricted and associated Stirling numbers of the first kind by generalizing the (unsigned) Stirling numbers of the first kind, we define the... 
Restricted Stirling numbers | Secondary 11B75 | Restricted poly-Cauchy numbers | Mathematics, general | Associated Stirling numbers | 05A19 | Mathematics | Primary 11B73 | Associated poly-Cauchy numbers | 05A15 | Poly-Cauchy numbers | MATHEMATICS | BERNOULLI NUMBERS
Journal Article
Advances in Difference Equations, ISSN 1687-1839, 12/2015, Volume 2015, Issue 1, pp. 1 - 9
The p-adic q-integral (sometimes called q-Volkenborn integration) was defined by Kim. From p-adic q-integral equations, we can derive various q-extensions of... 
(h, q)-Daehee numbers | p-adic q-integral | (h, q)-Bernoulli polynomials | (h, q)-Daehee polynomials | MATHEMATICS | MATHEMATICS, APPLIED | Q-BERNOULLI NUMBERS | DAEHEE | Integral equations | Analysis | Polynomials | Texts | Difference equations | Mathematical analysis
Journal Article
Journal of Integer Sequences, 2018, Volume 21, Issue 6
Journal Article
Journal of the Australian Mathematical Society, ISSN 1446-7887, 11/2016, Volume 103, Issue 1, pp. 1 - 19
Poly-Euler numbers are introduced as a generalization of the Euler numbers in a manner similar to the introduction of the poly-Bernoulli numbers. In this... 
poly-Bernoulli number | Clausen–von Staudt theorem | Euler number | poly-Euler number | MATHEMATICS | BERNOULLI NUMBERS | Clausen-von Staudt theorem
Journal Article
Ars Combinatoria, ISSN 0381-7032, 01/2018, Volume 136, pp. 199 - 210
We give convolution identities for Tribonacci numbers without binomial coefficients and with binomial coefficients. 
MATHEMATICS | BERNOULLI
Journal Article
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