Some Systems of PDE Associated with the Multiple Confluent Hypergeometric Functions and Their Applications

被引：1
|
作者：
Arzikulov, Z. O. [1 ]
Ergashev, T. G. [2 ,3 ]
机构：
[1] Fergana Polytech Inst, Fergana 150107, Uzbekistan
[2] Natl Res Univ, Tashkent Inst Irrigat & Agr Mechanizat Engineers, Tashkent 100000, Uzbekistan
[3] Univ Ghent, Dept Math Anal Log & Discrete Math, Ghent, Belgium
来源：
LOBACHEVSKII JOURNAL OF MATHEMATICS | 2024年 / 45卷 / 02期
关键词：
Gaussian hypergeometric function; Appell functions; Humbert functions; multiple Lauricella hypergeometric functions; confluent forms of the hypergeometric functions; self-similar solutions; fundamental solutions; SINGULAR COEFFICIENTS; FUNDAMENTAL-SOLUTIONS; HELMHOLTZ-EQUATION; 2ND;
D O I：
10.1134/S1995080224600250
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, new functions, which satisfy certain systems of partial differential equations, are introduced. As an application, the self-similar and fundamental solutions of the second order multidimensional systems of partial differential equations with singular coefficients are constructed in explicit forms.
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页码：591 / 603
页数：13
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