On Sums of Special Functions

被引：0

作者：

Brychkov, Yu. A. ^{[1
]}

机构：

[1] Russian Acad Sci, Fed Res Ctr Comp Sci & Control, Moscow 119333, Russia

来源：

LOBACHEVSKII JOURNAL OF MATHEMATICS | 2024年 / 45卷 / 05期

关键词：

special functions; series; hypergeometric function; Kampe de Feriet function; Horn function; Bessel function; orthogonal polynomialsity tensor; third initial-boundary value problem; integral transformations; heat flow; temperature;

D O I：

10.1134/S1995080224602418

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Sums of the form Sigma(n)(k=0) Pi(p)(i=1) (a(i))(k)/Pi(q)(j=1) (b(j))(k) w(k) F-k (z) are considered, where F-k(z) are special functions of hypergeometric type. Such sums involving Bessel, Struve, incomplete gamma functions, and Laguerre, Hermite, Jacobi, Legendre, and Chebyshev polynomials can be represented in terms of the Kampe de Fe riet and generalized Horn hypergeometric functions of two variables.

引用

页码：2237 / 2247

页数：11

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