On Generalized Sister Celine's Polynomials

Yıl 2019, Cilt: 2 Sayı: 1, 68 - 72, 30.10.2019

Nejla Özmen

Öz

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.

Anahtar Kelimeler

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

Kaynakça

• [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.