A parametric kind of the Fubini-type polynomials

Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas - Tập 113 - Trang 3253-3267 - 2019
H. M. Srivastava1,2, Can Kızılateş3
1Department of Mathematics and Statistics, University of Victoria, Victoria, Canada
2Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Republic of China
3Department of Mathematics, Faculty of Arts and Sciences, Zonguldak Bülent Ecevit University, Zonguldak, Turkey

Tóm tắt

By introducing two specific generating functions, we define a kind of parametric Fubini-type polynomials. We investigate some fundamental properties of these parametric-kind Fubini-type polynomials. In particular, we derive the relations between the parametric-kind Fubini-type polynomials and other polynomials including (for example) the parametric-kind Apostol–Bernoulli, the Apostol–Euler and the Apostol–Genocchi polynomials of order $$\alpha $$. Finally, we derive several families of multilinear and multilateral generating functions for the parametric-kind Fubini-type polynomials as well as other polynomials which are considered in this paper.

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Thông tin xuất bản

Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas

Tập 113

3253-3267

Thông tin tác giả