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标题：New Construction Weighted <svg style="vertical-align:-3.294pt;width:47.599998px;" id="M1" height="19.5375" version="1.1" viewBox="0 0 47.599998 19.5375" width="47.599998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,19.5375)"> <g transform="translate(72,-56.37)"> <text transform="matrix(1,0,0,-1,-71.95,59.7)"> <tspan style="font-size: 17.93px; " x="0" y="0">(</tspan> <tspan style="font-size: 17.93px; " x="5.9716892" y="0">ℎ</tspan> <tspan style="font-size: 17.93px; " x="16.319031" y="0">,</tspan> <tspan style="font-size: 17.93px; " x="23.779158" y="0">𝑞</tspan> <tspan style="font-size: 17.93px; " x="31.992472" y="0">)</tspan> </text> </g> </g> </svg>-Genocchi Numbers and Polynomials Related to Zeta Type Functions
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作者：Serkan Araci ; Jong Jin Seo ; Dilek Erdal 等
期刊名称：Discrete Dynamics in Nature and Society
印刷版ISSN：1026-0226
电子版ISSN：1607-887X
出版年度：2011
卷号：2011
DOI：10.1155/2011/487490
出版社：Hindawi Publishing Corporation
摘要：The fundamental aim of this paper is to construct (ℎ,𝑞)-Genocchi numbers and polynomials with weight 𝛼. We shall obtain some interesting relations by using 𝑝-adic 𝑞-integral on ℤ𝑝 in the sense of fermionic. Also, we shall derive the (ℎ,𝑞)-extensions of zeta type functions with weight 𝛼 from the Mellin transformation of this generating function which interpolates the (ℎ,𝑞)-Genocchi numbers and polynomials with weight 𝛼 at negative integers.