Some results involving series representations of hypergeometric functions

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:233

Article; Proceedings Paper

Coffey, M. W.^1,2  Johnston, S. J.¹ 

[1] Univ Witwatersrand, Sch Math, ZA-2050 Johannesburg, South Africa

[2] Colorado Sch Mines, Dept Phys, Golden, CO 80401 USA

关键词: Hypergeometric functions;    Riemann zeta function;    Beta function;    Series representation;   

DOI  :  10.1016/j.cam.2009.02.035

来源: Elsevier

【 摘 要 】

In this paper, we prove some generalisations of several theorems given in [K.A. Driver, S.J. Johnston, An integral representation of some hypergeometric functions, Electron. Trans. Numer. Anal. 25 (2006) 115-120] and examine some special cases which correspond to a transformation given by Chaundy in [T.W. Chaundy, An extension of hypergeometric functions, L, Quart. J. Maths. Oxford Ser. 14 (1943) 55-78] and other transformations involving the Riemann zeta function and the beta function. (C) 2009 Elsevier B.V. All rights reserved.

【 授权许可】

Free