On the analytic extension of the Horn's hypergeometric function H4

被引：4

作者：

Dmytryshyn, R. ^{[1
]}

Lutsiv, I. -A ^{[1
]}

Dmytryshyn, M. ^{[2
]}

机构：

[1] Vasyl Stefanyk Precarpathian Natl Univ, 57 Shevchenka Str, UA-76018 Ivano Frankivsk, Ukraine

[2] West Ukrainian Natl Univ, 11 Lvivska str, UA-46009 Ternopol, Ukraine

来源：

CARPATHIAN MATHEMATICAL PUBLICATIONS | 2024年 / 16卷 / 01期

关键词：

branched continued fraction; Horn hypergeometric function; approxima- tion by rational functions; convergence; analytic continuation; BRANCHED CONTINUED FRACTIONS;

D O I：

10.15330/cmp.16.1.32-39

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper establishes new convergence domains of branched continued fraction expansions of Horn's hypergeometric function H 4 with real and complex parameters. These domains enabled the PC method to establish the analytical extension of analytical functions to their expansions in the studied domains of convergence. A few examples are provided at the end to illustrate this.

引用

页码：32 / 39

页数：8

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