A new class of the generalized Hermite-based polynomials

DOI10.1515/anly-2022-1090OpenAlexW4319213275MaRDI QIDQ6171624

Mohd Ghayasuddin

Publication date: 14 August 2023

Published in: Analysis (München) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/anly-2022-1090

zbMATH Keywords

Hermite polynomialsBernoulli polynomialsmulti-index Mittag-Leffler functionHermite-Bernoulli polynomialsWiman function

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Mittag-Leffler functions and generalizations (33E12)

Cites Work

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• Some implicit summation formulas and symmetric identities for the generalized Hermite-Bernoulli polynomials
• The multi-index Mittag-Leffler functions as an important class of special functions of fractional calculus
• Multiple (multiindex) Mittag-Leffler functions and relations to generalized fractional calculus
• Exponential polynomials
• A generalization of the Bernoulli polynomials
• Certain new presentation of the generalized polynomials and numbers
• Multiple-poly-Bernoulli polynomials of the second kind associated with Hermite polynomials
• On the Lerch zeta function
• A new class of generalized Hermite–Bernoulli polynomials
• Some Properties of the Generalized Apostol Type Hermite-Based Polynomials
• A new class of Laguerre-based Apostol type polynomials

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