Explicit formula of a new class of q-Hermite-based Apostol-type polynomials and generalization

Mouloud Goubi
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 26, 2020, Number 4, Pages 93–102
DOI: 10.7546/nntdm.2020.26.4.93-102
Full paper (PDF, 215 Kb)

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Authors and affiliations

Mouloud Goubi
Department of Mathematics, University of UMMTO
Tizi-Ouzou 15000, Algeria

Abstract

The present article deals with a recent study of a new class of q-Hermite-based Apostol-type polynomials introduced by Waseem A. Khan and Divesh Srivastava. We give their explicit formula and study a generalized class depending in any q-analog generating function.

Keywords

• q-Hermite-based Apostol-type polynomials
• q-analog Cauchy product
• f_q-Hermitebased Apostol-type polynomials and numbers

2010 Mathematics Subject Classification

• 05A10
• 05A15
• 11B68
• 16B65

References

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