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- Title
A New Class of Generalized Hermite Based Apostol Type Polynomials.
- Authors
Batra, Saniya; Rai, Prakriti
- Abstract
In recent years, various mathematicians (such as Ernst, U. Duran) introduced an extension of Apostol Type polynomials of order α. Recently, W. A. Khan introduced a new class of q-Hermite based Apostol type polynomials. Motivated by their research, this article introduces a new class of (p,q)- analogue of Hermite based Apostol type polynomials of order α and investigate its characteristics. In particular, it establishes the generating function, series expression and explicit relation for these polynomials. It also explores the relationship between generalized Bernoulli, Euler and Genocchi polynomials.
- Subjects
EULER polynomials; POLYNOMIALS; GENERATING functions; MATHEMATICIANS; LAGUERRE polynomials
- Publication
IAENG International Journal of Applied Mathematics, 2021, Vol 51, Issue 4, p958
- ISSN
1992-9978
- Publication type
Article