Extension of exton's hypergeometric function K16

Cubo

卷:23

Ahmed Ali Atash¹  Maisoon Ahmed Kulib² 

[1] Department of Mathematics, Faculty of Education Shabwah, Aden University, Aden, Yemen.;

[2] Department of Mathematics, Faculty of Engineering, Aden University, Aden, Yemen.;

关键词: extended beta function;    extended exton’s function;    integral representations;    generating functions;    recurrence relation;    transformation formula;    derivative formula;    summation formula;   

DOI  :  10.4067/S0719-06462021000300489

来源: DOAJ

【 摘 要 】

The purpose of this article is to introduce an extension of Exton's hypergeometric function K16 by using the extended beta function given by Özergin et al. [11]. Some integral representations, generating functions, recurrence relations, transformation formulas, derivative formula and summation formulas are obtained for this extended function. Some special cases of the main results of this paper are also considered.

【 授权许可】

Unknown