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A new class of the generalized Hermite-based polynomials

  • Mohd Ghayasuddin EMAIL logo
Published/Copyright: January 27, 2023

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.

MSC 2010: 33C45; 11B68; 33E12

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Received: 2022-07-19
Accepted: 2022-11-14
Published Online: 2023-01-27
Published in Print: 2023-08-01

© 2023 Walter de Gruyter GmbH, Berlin/Boston

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