Novel identities involving Genocchi numbers and polynomials arising from applications of umbral calculus

被引：79

作者：

Araci, Serkan ^{[1
]}

机构：

[1] Hasan Kalyoncu Univ, Fac Econ Adm & Social Sci, TR-27410 Gaziantep, Turkey

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 233卷

关键词：

Appell sequence; Sheffer sequence; Genocchi numbers and polynomials; Formal power series; Fermionic p-adic integral on Z(p); BERNOULLI;

D O I：

10.1016/j.amc.2014.01.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to deal with applications of umbral calculus on fermionic p-adic integral on Z(p). From those applications, we derive some new identities on Genocchi numbers and polynomials. Moreover, a systemic study of the class of Sheffer sequences on the generating function of Genocchi polynomials are given. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：599 / 607

页数：9

共 22 条

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[2]

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[3]

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[4]

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Araci, Serkan .

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[8]

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Dere, Rahime ;

Simsek, Yilmaz .

APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (03) :756-761

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