Title of article
Generalizations of certain Carlitz’s trilinear and Srivastava–Agarwal type generating functions
Author/Authors
Cao، نويسنده , , Jian، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2012
Pages
12
From page
351
To page
362
Abstract
In this paper, a class of trilinear generating functions for generalized Hahn polynomials is generalized. In addition, a question of Carlitz is answered and some known results are deduced as special cases. Moreover, some expansions of Srivastava–Agarwal type generating functions for Hahn polynomials are gained. Finally, additional proofs of certain Carlitz’s generating functions are given.
Keywords
q -exponential decomposition , Rogers–Szeg? polynomials , Hahn polynomials , Carlitz’s generating functions , Carlitz’s q -operators , Srivastava–Agarwal type generating functions
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2012
Journal title
Journal of Mathematical Analysis and Applications
Record number
1563072
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