Mellin transforms and algebraic functions

被引：2
|
作者：
Antipova, I. A. [1 ]
Zykova, T. V. [1 ]
机构：
[1] Siberian Fed Univ, Dept Appl Math & Comp Secur, Krasnoyarsk 660041, Russia
来源：
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2015年 / 26卷 / 10期
基金：
俄罗斯基础研究基金会;
关键词：
Mellin transform; Mellin-Barnes integral; algebraic equation; algebraic function;
D O I：
10.1080/10652469.2015.1050390
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with Mellin-Barnes integral, representing solution to the nth degree algebraic equation. We prove convergence of this integral in the boundary points of its convergence domain. The cases of tetranomial and pentanomial equations are completely studied.
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页码：753 / 767
页数：15
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