Some generating functions and properties of extended second Appell function

Boletim da Sociedade Paranaense de Matemática

Rakesh K. Parmar¹  Sunil Dutt Purohit² 

[1] Government College of Engineering and TechnologyDepartment of Mathematics;Rajasthan Technical UniversityDepartment of HEAS (Mathematics);

关键词: Extended Beta function;    Extended hypergeometric function;    Generating functions;    Second Appell function;    Extended Second Appell function;    Laguerre polynomials;   

DOI  :  10.5269/bspm.v37i1.30725

来源: DOAJ

【 摘 要 】

Various families of generating functions have been established by a number of authors in many different ways. In this paper, we aim at establishing (presumably new) a generating function for the extended second Appell hypergeometric function $F_{2} (a, b, b'; c, c'; x, y; p)$. Further we derive a relation in terms of the Laguerre polynomials and differentiation formulas. We also present special cases of the main results of this paper.

【 授权许可】

Unknown