On sums of products of the extended q-Euler numbers

被引：4

作者：

Kim, Min-Soo ^{[2
]}

Lee, Jun Ho ^{[1
]}

机构：

[1] Korea Inst Adv Study, Sch Math, Seoul 130722, South Korea

[2] Kyungnam Univ, Div Cultural Educ, Chang Won 631701, South Korea

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2013年 / 397卷 / 02期

关键词：

Sums of products; Extended q-Euler numbers and polynomials; Higher-order extended q-Euler numbers and polynomials; Alternating Hurwitz q-zeta functions; Alternating multiple Hurwitz q-zeta functions; q-Stirling numbers of the first kind; Q-BERNOULLI NUMBERS;

D O I：

10.1016/j.jmaa.2012.07.067

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, by expressing the sums of products of the extended q-Euler polynomials in terms of the special values of the alternating multiple Hurwitz q-zeta function at non-positive integers, we obtain a sums of products identity for the extended q-Euler numbers, which is an extension of Satoh's result for any extended q-Euler numbers. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：522 / 528

页数：7

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