Some Generating Functions for a Class of Hypergeometric Polynomials
Abstract
The present study deals with some new properties for the hypergeometric polynomials . The results obtained here include various families of multilinear and multilateral generating functions, miscellaneous properties and also some special cases for these polynomials. In addition, we derive a theorem giving certain families of bilateral generating functions for the hypergeometric polynomials and the generalized Lauricella functions. Finally, we get several interesting results of this theorem.
Keywords
References
- [6] Lauricella, G., Sulle funzioni ipergeometriche a più variabili, Rend. Circ. Mat. Palermo 7, 111-158, (1893).
- [7] Exton, H. , Multiple Hypergeometric Functions and Applicaions, Halsted Press (Ellis Horwood Limited, Chichester), John Wiley and Sons, New York, Chichester, Brisbane and Toronto, (1976).
- [8] Qureshi, M.I. , Khan, M.S. and Pathan, M.A. , Some multiple Gaussian hypergeometric generalizations of Buschman--Srivastava theorem, Internal J. Math. Math. Sci. 2005, 143-153, (2005).
- [9] Srivastava, H.M. and Karlsson, P.W. , Multiple Gaussian Hypergeometric Series, Halsted Press (Ellis Horwood Limited, Chichester), John Wiley and Sons, New York, Chichester, Brisbane and Toronto, (1985).
- [10] Özmen, N. and Erkuş-Duman, E., On the Poisson-Charlier polynomials, Serdica Math. J. 41. 457-470, (2015).
- [11] Özmen, N. and Erkuş-Duman, E., Some families of generating functions for the generalized Cesáro polynomials, J. Comput. Anal. Appl. (accepted for publication).
- [7] Exton, H. , Multiple Hypergeometric Functions and Applicaions, Halsted Press (Ellis Horwood Limited, Chichester), John Wiley and Sons, New York, Chichester, Brisbane and Toronto, (1976).
- [8] Qureshi, M.I. , Khan, M.S. and Pathan, M.A. , Some multiple Gaussian hypergeometric generalizations of Buschman--Srivastava theorem, Internal J. Math. Math. Sci. 2005, 143-153, (2005).
Details
Primary Language
English
Subjects
Engineering
Journal Section
Research Article
Publication Date
December 1, 2018
Submission Date
March 9, 2017
Acceptance Date
June 18, 2018
Published in Issue
Year 2018 Volume: 31 Number: 4