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http://dx.doi.org/10.4134/BKMS.b180152

FINDING RESULTS FOR CERTAIN RELATIVES OF THE APPELL POLYNOMIALS  

Ali, Mahvish (Department of Mathematics Aligarh Muslim University)
Khan, Subuhi (Department of Mathematics Aligarh Muslim University)
Publication Information
Bulletin of the Korean Mathematical Society / v.56, no.1, 2019 , pp. 151-167 More about this Journal
Abstract
In this article, a hybrid family of polynomials related to the Appell polynomials is introduced. Certain properties including quasimonomiality, 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;
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