Some array type polynomials associated with special numbers and polynomials

被引：33

作者：

Bayad, Abdelmejid ^{[1
]}

Simsek, Yilmaz ^{[2
]}

Srivastava, H. M. ^{[3
]}

机构：

[1] Univ Evry Val DEssonne, Lab Anal & Probabilites, F-91037 Evry, France

[2] Akdeniz Univ, Fac Sci, Dept Math, TR-07058 Antalya, Turkey

[3] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3R4, Canada

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 244卷

关键词：

Bernoulli polynomials and Bernoulli numbers; Apostol-Bernoulli polynomials and Apostol-Bernoulli numbers; lambda-Bell numbers and lambda-Bell polynomials; lambda-Array polynomials; lambda-Stirling numbers of the second kind; GENERATING-FUNCTIONS; APOSTOL-BERNOULLI; EULER;

D O I：

10.1016/j.amc.2014.06.086

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main objective in this paper is first to establish new identities for the lambda-Stirling type numbers of the second kind, the lambda-array type polynomials, the Apostol-Bernoulli polynomials and the Apostol-Bernoulli numbers. We then construct a lambda-delta operator and investigate various generating functions for the lambda-Bell type numbers and for some new polynomials associated with the lambda-array type polynomials. We also derive several other identities and relations for these polynomials and numbers. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：149 / 157

页数：9

共 24 条

[1] Shortened recurrence relations for Bernoulli numbers [J].