Bilinear generating relations for a family of q-polynomials and generalized basic hypergeometric functions
Author(s) -
Sunıl Dutt Purohıt,
V. Vyas,
Ravindra Kumar Yadav
Publication year - 2012
Publication title -
acta et commentationes universitatis tartuensis de mathematica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.276
H-Index - 6
eISSN - 2228-4699
pISSN - 1406-2283
DOI - 10.12697/acutm.2012.16.11
Subject(s) - bilinear interpolation , hypergeometric function , mathematics , generalized hypergeometric function , pure mathematics , class (philosophy) , algebra over a field , hypergeometric distribution , generating function , discrete mathematics , computer science , statistics , artificial intelligence
In this paper, we derive a bilinear q-generating function involving basic analogue of Fox’s H-function and a general class of q-hypergeometric polynomials. Applications of the main results are also illustrated.
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