On some formulas for the Horn functions H5 (a, b; c; w, z) and H5(c) (a; c; w, z)

被引：5

作者：

Brychkov, Yu. A. ^{[1
]}

Savischenko, N. V. ^{[2
]}

机构：

[1] Russian Acad Sci, Fed Res Ctr Comp Sci & Control, AA Dorodnicyn Comp Ctr, Moscow, Russia

[2] Mil Telecommun Acad, Dept Gen Profess Disciplines, St Petersburg, Russia

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2022年 / 33卷 / 05期

关键词：

Special functions; Horn functions; Appell functions; Humbert functions; hypergeometric functions;

D O I：

10.1080/10652469.2021.1938026

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Some new relations for the Horn function H-5 (a, b; c; w, z) and confluent Horn function H-5((c)) (a; c; w, z) are obtained including differentiation and integration formulas, series and values for specific choice of parameters and variables. Some generating functions for various special functions are given in terms of these Horn functions.

引用

页码：373 / 387

页数：15

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