SOME FAMILIES OF GENERALIZED ELLIPTIC-TYPE INTEGRALS

被引：26

作者：

SRIVASTAVA, HM ^{[1
]}

BROMBERG, S ^{[1
]}

机构：

[1] UNIV ZULIA,FAC INGN,CTR INVEST MATEMAT APLICADA,MARACAIBO,VENEZUELA

来源：

MATHEMATICAL AND COMPUTER MODELLING | 1995年 / 21卷 / 03期

关键词：

ELLIPTIC INTEGRALS; ANALYTIC CONTINUATION; ASYMPTOTIC EXPANSION; RADIATION PHYSICS; GAMMA FUNCTION; MODIFIED BESSEL FUNCTION; LAPLACE TRANSFORM; ABELIAN THEOREM; GAUSS HYPERGEOMETRIC FUNCTION; QUADRATIC TRANSFORMATION; CHEBYSHEV POLYNOMIALS; EULERS TRANSFORMATION;

D O I：

10.1016/0895-7177(94)00212-7

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The object of the present paper is first to point out a hitherto unnoticed relationship between two seemingly different families of generalized elliptic-type integrals which were studied recently. This relationship and some other simple techniques are then employed in order to derive many properties (including, for example, analytic continuations and asymptotic behaviors) of these families. Several interesting special cases, involving simpler elliptic-type integrals, are also considered.

引用

页码：29 / 38

页数：10

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