Journal of Shanghai University(Natural Science Edition) ›› 2021, Vol. 27 ›› Issue (5): 907-918.doi: 10.12066/j.issn.1007-2861.2199

• Research Articles • Previous Articles     Next Articles

Integration of Appell function and Humbert function

WANG Xiaoxia(), YUAN Xueying   

  1. College of Sciences, Shanghai University, Shanghai 200444, China
  • Received:2019-09-23 Online:2021-10-31 Published:2020-01-09
  • Contact: WANG Xiaoxia E-mail:xiaoxiawang@shu.edu.cn

Abstract:

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.

Key words: Appell function, Humbert function, double hypergeometric function

CLC Number: