More asymptotic expansions for the Barnes G-function

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• 作者：Zhihang Xu ^{xuzhihang007@icloud.com} ; Weiping Wang ; ^{wpingwang@yahoo.com}
• 关键词：33B15 ; 41A60
• 刊名：Journal of Number Theory
• 出版年：2017
• 出版时间：May 2017
• 年：2017
• 卷：174
• 期：Complete
• 页码：505-517
• 全文大小：333 K
• 卷排序：174

文摘

In this paper, by the exponential complete Bell polynomials, we establish two general asymptotic expansions for the Barnes G-function, which contain only even power terms or odd power terms. We also derive the recurrences for the coefficient sequence or the parameter sequences in these two general expansions, and obtain some special asymptotic expansions by specifying the parameters.