The Kampe de Feriet Series and the Regular Solution of the Cauchy Problem for Degenerating Hyperbolic Equation of the Second Kind

被引：2

作者：

Ergashev, T. G. ^{[1
]}

Komilova, N. J. ^{[2
]}

机构：

[1] Nat Res Univ, Tashkent Inst Irrigat & Agr Mechanizat Engineers, Tashkent 100000, Uzbekistan

[2] Ferghana State Univ, Ferghana 150100, Uzbekistan

来源：

LOBACHEVSKII JOURNAL OF MATHEMATICS | 2022年 / 43卷 / 11期

关键词：

Appell hypergeometric series; Kampe de Feriet series; order of the hypergeometric function; Riemann function; Cauchy problem; HYPERGEOMETRIC-FUNCTIONS;

D O I：

10.1134/S1995080222140104

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work the definition of the order of the doublehypergeometric series is given, the new higher-order Kampe deFeriet functions are introduced into theconsideration, their properties are studied. The results obtained are applied to finding an explicit regular solution to the Cauchy problemfor a degenerate hyperbolic equation of the second kind.

引用

页码：3112 / 3124

页数：13

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