Umbral treatment and lacunary generating function for Hermite polynomials

DOI10.1515/gmj-2023-2053zbMath1527.05023OpenAlexW4385197398MaRDI QIDQ6084464

Umme Zainab, Nusrat Raza

Publication date: 30 November 2023

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gmj-2023-2053

zbMATH Keywords

Hermite polynomialslacunary generating functionumbral formalism

Mathematics Subject Classification ID

Umbral calculus (05A40) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Lacunary series of trigonometric and other functions; Riesz products (42A55)

Cites Work

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• Generalized polynomials, operational identities and their applications
• Identities involving 3-variable Hermite polynomials arising from umbral method
• A triple lacunary generating function for Hermite polynomials
• A Note on Legendre Polynomials
• Monumbral Polynomials and the Associated Formalism

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