收稿日期: 2019-09-23
网络出版日期: 2019-12-19
基金资助
国家自然科学基金资助项目(11661032)
Integration of Appell function and Humbert function
Received date: 2019-09-23
Online published: 2019-12-19
Appell 函数和 Humbert 函数在双变量超几何函数中具有重要的研究意义. 受到 Brychkov 和 Saad 建立 Appell 函数的积分表达式的启发, 通过对双变量超几何函数与一般超几何函数积分, 建立了一些双变量超几何函数的积分表达式, 其中包含了很多 Appell 函数与 Humbert 函数的积分表达式.
关键词： Appell 函数; Humbert 函数; 双变量超几何函数
王晓霞, 袁学颖 . Appell 函数和 Humbert 函数的积分表达[J]. 上海大学学报(自然科学版), 2021 , 27(5) : 907 -918 . DOI: 10.12066/j.issn.1007-2861.2199
Appell function and Humbert function are important in the research for double hypergeometric functions. Inspired by the recent work of Brychkov and Saad, who gave some integral representations for the Appell functions, the double hypergeometric function and generalized hypergeometric function are integrated, and some integral representations are established related to double hypergeometric function including some results for Appell function and Humbert function.
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