Determinantal approach to certain mixed special polynomials related to Gould-Hopper polynomials

DOI10.1016/j.amc.2014.11.081zbMath1328.33002OpenAlexW2080863028MaRDI QIDQ903046

Mumtaz Riyasat, Subuhi Khan

Publication date: 4 January 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.11.081

zbMATH Keywords

operational methodsGould-Hopper-Hermite polynomialsGould-Hopper-Laguerre polynomialsGould-Hopper-Sheffer polynomials

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (11)

Quasi-monomiality and convergence theorem for the Boas-Buck-Sheffer polynomials ⋮ Properties of certain new special polynomials associated with Sheffer sequences ⋮ Operational methods and truncated exponential-based Mittag-Leffler polynomials ⋮ A matrix approach to Sheffer polynomials ⋮ \(\Delta_h\)-Gould-Hopper Appell polynomials ⋮ On Bell based Appell polynomials ⋮ A new determinant form of Bessel polynomials and applications ⋮ On a new family related to truncated exponential and Sheffer polynomials ⋮ Certain results for the 2-variable Apostol type and related polynomials ⋮ Finding hybrid families of special matrix polynomials associated with Sheffer sequences ⋮ 2D-Sheffer-Mittag-Leffler polynomials: properties and examples

Cites Work

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• General-Appell polynomials within the context of monomiality principle
• A determinantal approach to Sheffer-Appell polynomials via monomiality principle
• Some properties of Hermite-based Sheffer polynomials
• A determinantal approach to Appell polynomials
• Operational formulas connected with two generalizations of Hermite polynomials
• The umbral calculus
• Generalized polynomials, operational identities and their applications
• The poweroid, an extension of the mathematical notion of power
• LIE ALGEBRAIC DISCRETIZATION OF DIFFERENTIAL EQUATIONS
• An algebraic approach to Sheffer polynomial sequences

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