文章基本信息

标题：-Genocchi Numbers and Polynomials Associated with -Genocchi-Type -Functions
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作者：Yilmaz Simsek ; Ismail Naci Cangul ; Veli Kurt 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2007
卷号：2008
期号：1
页码：815750
DOI：10.1155/2008/815750
语种：English
出版社：Hindawi Publishing Corporation
摘要：The main purpose of this paper is to study on generating functions of the -Genocchi numbers and polynomials. We prove new relation for the generalized -Genocchi numbers which is related to the -Genocchi numbers and -Bernoulli numbers. By applying Mellin transformation and derivative operator to the generating functions, we define -Genocchi zeta and -functions, which are interpolated -Genocchi numbers and polynomials at negative integers. We also give some applications of generalized -Genocchi numbers.
关键词：Zeta Function ; Elementary Calculation ; Derivative Operator ; Euler Number ; Bernoulli Number