A new class of the generalized Hermite-based polynomials
- 27 January 2023
- journal article
- research article
- Published by Walter de Gruyter GmbH in Analysis
- Vol. 43 (3), 201-208
- https://doi.org/10.1515/anly-2022-1090
Abstract
The main object of this paper is to propose a new class of the Hermite-based polynomials by considering the Wiman (generalized Mittag-Leffler) function. We also indicate some analytical properties of our defined polynomials in a well-ordered way. Moreover, we consider a multi-index generalization of our generalized Hermite-based polynomials in the last section.Keywords
This publication has 15 references indexed in Scilit:
- Some Properties of the Generalized Apostol Type Hermite-Based PolynomialsKyungpook mathematical journal, 2015
- Some Implicit Summation Formulas and Symmetric Identities for the Generalized Hermite–Bernoulli PolynomialsMediterranean Journal of Mathematics, 2014
- A new class of generalized Hermite–Bernoulli polynomialsGeorgian Mathematical Journal, 2012
- The Zeta and Related FunctionsPublished by Elsevier BV ,2012
- The multi-index Mittag-Leffler functions as an important class of special functions of fractional calculusComputers & Mathematics with Applications, 2010
- A generalization of the Bernoulli polynomialsJournal of Applied Mathematics, 2003
- Multiple (multiindex) Mittag–Leffler functions and relations to generalized fractional calculusJournal of Computational and Applied Mathematics, 2000
- On the Lerch zeta functionPacific Journal of Mathematics, 1951
- Exponential PolynomialsAnnals of Mathematics, 1934
- Über den Fundamentalsatz in der Teorie der Funktionen Ea(x)Acta Mathematica, 1905