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Please use this identifier to cite or link to this item:
http://hdl.handle.net/11129/3462
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| Title: | New families of generating functions for certain class of three-variable polynomials |
| Authors: | Özarslan, Mehmet Ali
Kaanoğlu, Cem
Eastern Mediterranean University, Faculty of Arts & Sciences, Department of Mathematics |
| Keywords: | Multiple Laguerre polynomials, Generating functions, Multilateral generating functions,
Srivastava polynomials, Lagrange polynomials, Hypergeometric transformations,
Lagrange–Hermite polynomials, Lagrange-Hermite polynomials
MATHEMATICS, APPLIED, HYPERGEOMETRIC POLYNOMIALS, VARIABLES, Family |
| Issue Date: | 2011 |
| Publisher: | Elsevier ınc |
| Abstract: | Recently, Srivastava, Özarslan and Kaanoglu have introduced certain families of three and two variable polynomials, which include Lagrange and Lagrange-Hermite polynomials, and obtained families of two-sided linear generating functions between these families [H.M. Srivastava, M.A. Özarslan, C. Kaanoglu, Some families of generating functions for a certain class of three-variable polynomials, Integr. Transform. Spec. Funct. iFirst (2010) 1-12]. The main object of this investigation is to obtain new two-sided linear generating functions between these families by applying certain hypergeometric transformations. Furthermore, more general families of bilinear, bilateral, multilateral finite series relationships and generating functions are presented for them |
| Description: | Due to copyright restrictions, the access to the publisher version (published version) of this article is only available via subscription. You may click URI and have access to the Publisher Version of this article through the publisher web site or online databases, if your Library or institution has subscription to the related journal or publication |
| URI: | http://dx.doi.org/10.1016/j.amc.2011.01.083
http://hdl.handle.net/11129/3462 |
| ISSN: | 0096-3003(print)
1873-5649(online) |
| Appears in Collections: | MAT – Journal Articles: Publisher & Author Versions (Post-Print Author Versions) – Mathematics
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