Some generating functions and properties of extended second Appell function
DOI :
https://doi.org/10.5269/bspm.v37i1.30725Mots-clés :
Extended Beta function, Extended hypergeometric function, Generating functions, Second Appell function, Extended Second Appell function, Laguerre polynomialsRésumé
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.
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2017-04-02
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Research Articles
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