Nejla ÖZMEN

On Generalized Sister Celine's Polynomials

ISSN: 2651-544X
Başlangıç: 2018
Yayıncı: Murat TOSUN

In this research, we establish some properties for the generalized Sister Celine's polynomials. We derive various families of multilinear and multilateral generating functions for a family of generalized Sister Celine's polynomials.

Keywords:

Generalization Sister Celine’s polynomials, multilinear and multilateral generating functions recurrence relations.,

PDF

___

[1] M. Celine Fasenmyer Sister, Some generalized hypergeometric polynomials, Bull. Amer. Math. Soc., 53 (1947), 806-812.
[2] E. D. Rainville, Special Function, Macmillan, New York, 1960.
[3] K. Ahmad, M. Kamarujjama, M. Ghayasuddin, On generalization of Sister Celine’s polynomials, Palest. J. Math., 5 (1) (2016), 105-110.
[4] H. M. Srivastava, H. L. Manocha, A Treatise on Generating Functions, Halsted Press, John Wiley and Sons, New York, 1984.
[5] E. Erkus-Duman, A. Altın, R. Aktas, Miscellaneous properties of some multivariable polynomials, Math. Comput. Modelling, 54 (2011), 1875-1885.
[6] A. Altın, E. Erkus, On a multivariable extension of the Lagrange-Hermite polynomials, Integral Transform. Spec. Funct., 17 (4) (2006), 239-244.
[7] C. Kaanoglu, M. A. Ozarslan, Two-parameter Srivastava polynomials and several series identities, Adv. Difference Equ., 81 (2013), 1-9.
[8] N. Ozmen, E. Erkus-Duman, On the Poisson-Charlier polynomials, Serdica Math. J., 41 (2015), 457-470.
[9] N. Ozmen, E. Erkus-Duman, Some results for a family of multivariable polynomials, AIP Conf. Proc., 1558 (2013), 1124-1127.
[10] N. Ozmen, E. Erkus-Duman, Some families of generating functions for the generalized Cesáro polynomials, J. Comput. Anal. Appl., 25 (4) (2018), 670-683.