A (p, ν)-extension of the Appell function F1 (.) and its properties

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:358

Article

Dar, S. A.¹  Paris, R. B.² 

[1] Jamia Millia Islamia, Fac Engn & Technol, Dept Appl Sci & Humanities, New Delhi 110025, India

[2] Abertay Univ, Div Comp & Math, Dundee DD1 1HG, Scotland

关键词: Appell's hypergeometric functions;    Beta and Gamma functions;    Eulerian integrals;    Bessel function;    Meijer's G-function;   

DOI  :  10.1016/j.cam.2019.03.001

来源: Elsevier

【 摘 要 】

In this paper, we obtain a (p, v)-extension of the Appell hypergeometric function F-1(.), together with its integral representation, by using the extended Beta function B-p,B-nu(x, y) introduced in Parmar et al. (2015). Also, we give some of its main properties, namely the Mellin transform, a differential formula, recursion formulas and a bounded inequality. In addition, some new integral representations of the extended Appell functionF1,p,nu(.) involving Meijer's G-function are obtained. (C) 2019 Elsevier B.V. All rights reserved.

【 授权许可】

Free