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.
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页码：522 / 528
页数：7
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