Generalizations on Humbert polynomials and functions

DOI10.1080/23311835.2017.1310354zbMath1426.33024OpenAlexW2599689986MaRDI QIDQ5193405

C. Cesarano

Publication date: 10 September 2019

Published in: Cogent Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/23311835.2017.1310354

zbMATH Keywords

Hermite-polynomialsLaguerre-polynomialsorthogonal polynomials and special functionsgenerating-functions

Mathematics Subject Classification ID

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

Related Items (3)

Certain properties of the Laguerre-Sheffer polynomials ⋮ Construction of some hybrid relatives of Laguerre-Appell polynomials associated with Gould-Hopper matrix polynomials ⋮ Several characterizations of Bessel functions and their applications

Cites Work

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• Orthogonality properties of the Hermite and related polynomials
• On a multivariable extension of the Humbert polynomials
• Operational formulas connected with two generalizations of Hermite polynomials
• On a new family of Hermite polynomials associated to parabolic cylinder functions
• The Hermite polynomials and the Bessel functions from a general point of view
• The Laguerre and Legendre polynomials from an operational point of view.
• Some families of differential equations associated with the Hermite-based Appell polynomials and other classes of Hermite-based polynomials
• Some generating functions and other properties associated with the generalized Hermite and related polynomials
• New relations for two-dimensional Hermite polynomials
• On a family of hybrid polynomials
• Operational versus Lie-algebraic methods and the theory of multi-variable Hermite polynomials
• New generating functions for a class of generalized Hermite polynomials

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