Bull. Korean Math. Soc. 2019; 56(1): 151-167
Online first article September 7, 2018 Printed January 31, 2019
https://doi.org/10.4134/BKMS.b180152
Copyright © The Korean Mathematical Society.
Mahvish Ali, Subuhi Khan
Aligarh Muslim University; Aligarh Muslim University
In this article, a hybrid family of polynomials related to the Appell polynomials is introduced. Certain properties including quasi-monomiality, differential equation and determinant definition of these polynomials are established. Further, applications of Carlitz's theorem to these polynomials and to certain other related polynomials are considered. Examples providing the corresponding results for some members belonging to this family are also considered.
Keywords: Appell polynomials, Boas-Buck polynomials, operational techniques, monomiality principle, Carlitz's theorem
MSC numbers: 33C45, 33C99, 33E20
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