Some generating functions and properties of extended second Appell function
Parmar, Rakesh K. ; Purohit, Sunil Dutt
Boletim da Sociedade Paranaense de Matemática, Tome 37 (2017), / Harvested from Portal de Periódicos da UEM
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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.

Publié le : 2017-01-01
DOI : https://doi.org/10.5269/bspm.v37i1.30725 
@article{30725,
     title = {Some generating functions and properties of extended second Appell function},
     journal = {Boletim da Sociedade Paranaense de Matem\'atica},
     volume = {37},
     year = {2017},
     doi = {10.5269/bspm.v37i1.30725},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/30725}
}

Parmar, Rakesh K.; Purohit, Sunil Dutt. Some generating functions and properties of extended second Appell function. Boletim da Sociedade Paranaense de Matemática, Tome 37 (2017) . doi : 10.5269/bspm.v37i1.30725. http://gdmltest.u-ga.fr/item/30725/