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Notes on q-Hermite based unified Apostol type polynomials
Journal article   Peer reviewed

Notes on q-Hermite based unified Apostol type polynomials

Kottakkaran Sooppy Nisar and W. A. Khan
Journal of interdisciplinary mathematics, Vol.22(7), pp.1185-1203
03/10/2019

Abstract

Primary 05A10 q-Hermite type polynomials q-Hermite-based uni- fied Apostol type polynomials q-unified Apostol type polynomials Secondary 11B73
In this article, a new class of q-Hermite based unified Apostol type polynomials is introduced by means of generating function and series representation. Several important formulas and recurrence relations for these polynomials are derived via different generating methods. We also introduce q-analog of Stirling numbers of second kind of order v by which we construct a relation including aforementioned polynomials.

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