Research Article

Some Generating Functions for a Class of Hypergeometric Polynomials

Volume: 31 Number: 4 December 1, 2018
EN

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

  1. [6] Lauricella, G., Sulle funzioni ipergeometriche a più variabili, Rend. Circ. Mat. Palermo 7, 111-158, (1893).
  2. [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).
  3. [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).
  4. [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).
  5. [10] Özmen, N. and Erkuş-Duman, E., On the Poisson-Charlier polynomials, Serdica Math. J. 41. 457-470, (2015).
  6. [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. [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. [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

Authors

Nejla Ozmen
Türkiye

Publication Date

December 1, 2018

Submission Date

March 9, 2017

Acceptance Date

June 18, 2018

Published in Issue

Year 2018 Volume: 31 Number: 4

APA
Ozmen, N., & Erkus Duman, E. (2018). Some Generating Functions for a Class of Hypergeometric Polynomials. Gazi University Journal of Science, 31(4), 1179-1190. https://izlik.org/JA34KY32AN
AMA
1.Ozmen N, Erkus Duman E. Some Generating Functions for a Class of Hypergeometric Polynomials. Gazi University Journal of Science. 2018;31(4):1179-1190. https://izlik.org/JA34KY32AN
Chicago
Ozmen, Nejla, and Esra Erkus Duman. 2018. “Some Generating Functions for a Class of Hypergeometric Polynomials”. Gazi University Journal of Science 31 (4): 1179-90. https://izlik.org/JA34KY32AN.
EndNote
Ozmen N, Erkus Duman E (December 1, 2018) Some Generating Functions for a Class of Hypergeometric Polynomials. Gazi University Journal of Science 31 4 1179–1190.
IEEE
[1]N. Ozmen and E. Erkus Duman, “Some Generating Functions for a Class of Hypergeometric Polynomials”, Gazi University Journal of Science, vol. 31, no. 4, pp. 1179–1190, Dec. 2018, [Online]. Available: https://izlik.org/JA34KY32AN
ISNAD
Ozmen, Nejla - Erkus Duman, Esra. “Some Generating Functions for a Class of Hypergeometric Polynomials”. Gazi University Journal of Science 31/4 (December 1, 2018): 1179-1190. https://izlik.org/JA34KY32AN.
JAMA
1.Ozmen N, Erkus Duman E. Some Generating Functions for a Class of Hypergeometric Polynomials. Gazi University Journal of Science. 2018;31:1179–1190.
MLA
Ozmen, Nejla, and Esra Erkus Duman. “Some Generating Functions for a Class of Hypergeometric Polynomials”. Gazi University Journal of Science, vol. 31, no. 4, Dec. 2018, pp. 1179-90, https://izlik.org/JA34KY32AN.
Vancouver
1.Nejla Ozmen, Esra Erkus Duman. Some Generating Functions for a Class of Hypergeometric Polynomials. Gazi University Journal of Science [Internet]. 2018 Dec. 1;31(4):1179-90. Available from: https://izlik.org/JA34KY32AN