A symbolic method of umbral nature is employed to evaluate a family of infinite integrals containing combinations of various functions, including exponentials, logarithms, and products of Bessel functions of different types. The methods developed in this article are naturally suited for studying integrals, including Macdonald Bessel functions, and offer a particularly useful tool for working out the relevant details with minimal computational efforts.

Evaluation Of Integrals Of Bessel Functions With Umbral Methods

Dattoli G.;
2025-01-01

Abstract

A symbolic method of umbral nature is employed to evaluate a family of infinite integrals containing combinations of various functions, including exponentials, logarithms, and products of Bessel functions of different types. The methods developed in this article are naturally suited for studying integrals, including Macdonald Bessel functions, and offer a particularly useful tool for working out the relevant details with minimal computational efforts.
2025
Bessel functions
integral representations
Macdonald functions
umbral methods
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12079/87288
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