In this paper, we introduce the integral transform of (p, q)-truncated exponential polynomials En,p,q(x) and obtain their series definition and other properties. Also, we introduce the integral transforms of higher-order (p, q)-truncated exponential polynomials E α n,p,q(x), [2]En,p,q(x) and [m]E α n,p,q(x). Finally, certain higher-order properties of (p, q)-truncated exponential polynomials are established.

On (p, q)-truncated exponential polynomials

C. Cesarano
;
2026-01-01

Abstract

In this paper, we introduce the integral transform of (p, q)-truncated exponential polynomials En,p,q(x) and obtain their series definition and other properties. Also, we introduce the integral transforms of higher-order (p, q)-truncated exponential polynomials E α n,p,q(x), [2]En,p,q(x) and [m]E α n,p,q(x). Finally, certain higher-order properties of (p, q)-truncated exponential polynomials are established.
2026
(p, q)-calculus, (p, q)-Hermite polynomials, (p, q)-Gamma function, (p, q)-Gould Hopper polynomials.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14086/10741
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