Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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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.

Finding results for certain relatives of the Appell polynomials

Mahvish Ali, Subuhi Khan

Aligarh Muslim University; Aligarh Muslim University

Abstract

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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