Identities involving 3-variable Hermite polynomials arising from umbral method

DOI10.1186/s13662-020-03102-0zbMath1489.33008OpenAlexW3105873174MaRDI QIDQ2144109

Umme Zainab, Nusrat Raza, Ayhan Esi, Serkan Araci

Publication date: 1 June 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-020-03102-0

zbMATH Keywords

generating functiongeneralised Hermite polynomials4-parameter 3-variable Hermite polynomialsumbral method

Mathematics Subject Classification ID

Umbral calculus (05A40) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (6)

The Mittag-Leffler-Legendre polynomials and their Lie-algebraic relations ⋮ Mittag-Leffler based Bessel and Tricomi functions via umbral approach ⋮ Some identities of degenerate harmonic and degenerate hyperharmonic numbers arising from umbral calculus ⋮ Umbral treatment and lacunary generating function for Hermite polynomials ⋮ Mittag-Leffler-Gould-Hopper polynomials: symbolic approach ⋮ A new family of degenerate poly-Genocchi polynomials with its certain properties

Cites Work

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• On the derivation of new families of generating functions involving ordinary Bessel functions and Bessel-Hermite functions
• A triple lacunary generating function for Hermite polynomials
• Boundedness in a parabolic‐elliptic chemotaxis system with nonlinear diffusion and sensitivity and logistic source
• Monumbral Polynomials and the Associated Formalism

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