Generating functions via integral transforms |
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| Authors: | Y Ben Cheikh |
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| Institution: | a Département de Mathématiques, Faculté des Sciences de Monastir, 5019 Monastir, Tunisia
b Institut Supérieure d'Informatique et des Technologies de Communication de Hammam Sousse, 4011 Hammam Sousse, Tunisia |
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| Abstract: | In this paper, we use some integral transforms to derive, for a polynomial sequence {Pn(x)}n?0, generating functions of the type  , starting from a generating function of type  , where {γn}n?0 is a real numbers sequence independent on x and t. That allows us to unify the treatment of a generating function problem for many well-known polynomial sequences in the literature. |
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| Keywords: | Generating functions Multiplier sequences Generalized hypergeometric polynomials Basic hypergeometric polynomials Srivastava theorem Borel theorem Rainville theorem McBride theorem |
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