Throughout this work, we explore 3-variable (p, q)-Hermite polynomials and then gain their properties, including generating function, series definition, (p, q)-partial derivatives, (p, q)-partial differential equations and (p, q)-integral representations. Moreover, we investigate their pure recurrence relation, operational identity and addition formulas.

On 3-variable (p,q)-Hermite polynomials

Clemente Cesarano;William Ramirez
;
Pablo Buitron
2025-01-01

Abstract

Throughout this work, we explore 3-variable (p, q)-Hermite polynomials and then gain their properties, including generating function, series definition, (p, q)-partial derivatives, (p, q)-partial differential equations and (p, q)-integral representations. Moreover, we investigate their pure recurrence relation, operational identity and addition formulas.
2025
(p, q)-Hermite polynomials; (p, q)-operational identity; (p, q)-recurrence relation
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14086/9201
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