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http://dx.doi.org/10.4134/CKMS.c190436

A NEW CLASS OF q-HERMITE-BASED APOSTOL TYPE FROBENIUS GENOCCHI POLYNOMIALS  

Kang, Jung Yoog (Department of Mathematics Education Silla University)
Khan, Waseem A. (Department of Mathematics and Natural Sciences Prince Mohammad Bin Fahd University)
Publication Information
Communications of the Korean Mathematical Society / v.35, no.3, 2020 , pp. 759-771 More about this Journal
Abstract
In this article, a hybrid class of the q-Hermite based Apostol type Frobenius-Genocchi 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 function methods. Furthermore, we consider some relationships for q-Hermite based Apostol type Frobenius-Genocchi polynomials of order α associated with q-Apostol Bernoulli polynomials, q-Apostol Euler polynomials and q-Apostol Genocchi polynomials.
Keywords
q-Hermite polynomials; Apostol type q-Frobenius Genocchi polynomials; q-Hermite based Apostol type Frobenius-Genocchi polynomials;
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