Generalized Stirling numbers with poly-Bernoulli and poly-Cauchy numbers

被引：2

作者：

Komatsu, Takao ^{[1
]}

Young, Paul Thomas ^{[2
]}

机构：

[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Hubei, Peoples R China

[2] Coll Charleston, Dept Math, Charleston, SC 29424 USA

来源：

INTERNATIONAL JOURNAL OF NUMBER THEORY | 2018年 / 14卷 / 05期

关键词：

Poly-Bernoulli numbers; poly-Cauchy numbers; generalized Stirling numbers;

D O I：

10.1142/S1793042118500744

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By using the generalized Stirling numbers studied by Hsu and Shiue, we define a new kind of generalized poly-Bernoulli and poly-Cauchy numbers. By using the formulae of the generalized Stirling numbers, we give their characteristic and combinatorial properties.

引用

页码：1211 / 1222

页数：12

共 48 条

[41] Explicit formulae for sums of products of Bernoulli polynomials, including poly-Bernoulli polynomials
Ken Kamano
Takao Komatsu
[J]. The Ramanujan Journal, 2014, 33 : 301 - 313
[42] Explicit formulae for sums of products of Bernoulli polynomials, including poly-Bernoulli polynomials
Kamano, Ken
Komatsu, Takao
[J]. RAMANUJAN JOURNAL, 2014, 33 (02) : 301 - 313
[43] Generalized Stirling numbers and sums of powers of arithmetic progressions
Luis Cereceda, Jose
[J]. INTERNATIONAL JOURNAL OF MATHEMATICAL EDUCATION IN SCIENCE AND TECHNOLOGY, 2020, 51 (06) : 954 - 966
[44] Modified approach to generalized Stirling numbers via differential operators
El-Desouky, B. S.
Cakic, Nenad P.
Mansour, Toufik
[J]. APPLIED MATHEMATICS LETTERS, 2010, 23 (01) : 115 - 120
[45] On a duality formula for certain sums of values of poly-Bernoulli polynomials and its application
Kaneko, Masanobu
Sakurai, Fumi
Tsumura, Hirofumi
[J]. JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX, 2018, 30 (01): : 203 - 218
[46] Generalized Stirling Numbers and Hyper-Sums of Powers of Binomial Coefficients
Claudio de, J. Pita Ruiz V.
[J]. ELECTRONIC JOURNAL OF COMBINATORICS, 2014, 21 (01)
[47] Balanced Stirling numbersA bridge between generalized Stirling numbers and central factorial numbersBalanced Stirling numbersM. Maltenfort et al.
Michael Maltenfort
[J]. Aequationes mathematicae, 2025, 99 (2) : 705 - 731
[48] Transformation formulas for complete symmetric polynomials and identities for generalized binomial coefficients and q-Stirling numbers
Verde-Star, Luis
[J]. DISCRETE MATHEMATICS, 2012, 312 (15) : 2197 - 2202

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