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Journal of Shanghai University >

2021 , Vol. 27 >Issue 5: 907 - 918

DOI: https://doi.org/10.12066/j.issn.1007-2861.2199

Research Articles

Integration of Appell function and Humbert function

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  • College of Sciences, Shanghai University, Shanghai 200444, China

Received date: 2019-09-23

  Online published: 2019-12-19

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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

Cite this article

WANG Xiaoxia, YUAN Xueying . Integration of Appell function and Humbert function[J]. Journal of Shanghai University, 2021 , 27(5) : 907 -918 . DOI: 10.12066/j.issn.1007-2861.2199

References

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