Generalizations of Whipple's theorem on the sum of a F-3(2)

被引：86

作者：

Lavoie, JL

Grondin, F

Rathie, AK

机构：

[1] UNIV LAVAL,DEPT MATH & STAT,QUEBEC CITY,PQ G1K 7P4,CANADA

[2] UNIV LAVAL,FAC FORESTERIE & GEOMAT,FORINTEK CANADA CORP,QUEBEC CITY,PQ G1K 7P4,CANADA

[3] DUNGAR AUTONOUMOUS COLL,DEPT MATH,BIKANER 334001,RAJASTHAN,INDIA

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1996年 / 72卷 / 02期

关键词：

D O I：

10.1016/0377-0427(95)00279-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Thirty-eight summation closely related to Whipple's theorem, in the theory of the generalized hypergeometric series, are obtained. Some limiting cases are also considered.

引用

页码：293 / 300

页数：8

共 9 条

[1]

Bailey W.N., 1964, CAMBRIDGE MATH TRACT, V32

[2] REDUCTION FORMULAS FOR GENERALIZED HYPERGEOMETRIC-FUNCTIONS OF ONE VARIABLE [J].

GOTTSCHALK, JE ;

MASLEN, EN .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1988, 21 (09) :1983-1998

[3] SOME FINITE SUMMATION THEOREMS AND AN ASYMPTOTIC EXPANSION FOR GENERALIZED HYPERGEOMETRIC SERIES [J].

JOSHI, CM ;

MCDONALD, JB .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1972, 40 (02) :278-&

[4]

Lavoie J.L., 1992, Indian J. Math., V34, P23

[5] SOME SUMMATION FORMULAS FOR THE SERIES 3F2(1) [J].

LAVOIE, JL .

MATHEMATICS OF COMPUTATION, 1987, 49 (179) :269-274

[6]

LAVOIE JL, MATH COMPUT, V62, P267

[7]

LAVOIE JL, 1987, J AUSTRAL MATH SOC B, V29, P216

[8]

Rainville E. D., 1971, Special Functions

[9] THE CONTIGUOUS FUNCTION RELATIONS FOR F-P(Q) WITH APPLICATIONS TO BATEMANS JNU,V AND RICES H-N(ZETA,RHO,UPSILON) [J].

RAINVILLE, ED .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1945, 51 (10) :714-723

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