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
收藏
页码：32 / 39
页数：8
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