On sums of products of the extended -Euler numbers

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• 作者：Min-Soo Kim ; Jun Ho Lee
• 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
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2013
• 出版时间：15 January, 2013
• 年：2013
• 卷：397
• 期：2
• 页码：522-528
• 全文大小：213 K

文摘

In this paper, by expressing the sums of products of the extended -Euler polynomials in terms of the special values of the alternating multiple Hurwitz -zeta function at non-positive integers, we obtain a sums of products identity for the extended -Euler numbers, which is an extension of Satoh¡¯s result for any extended -Euler numbers.