Applications of New Laplace Convolution Integrals Involving Bessel and Generalized Hypergeometric Functions

We compute several new convolution integrals using the Laplace convolution theorem and known inverse Laplace transforms available in the literature. We illustrate the applicability of these results through a wide variety of examples, including random walks, diffraction, and heat transfer problems. As a by-product, we obtain a novel integral representation of the modified Struve function of order zero.

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Publication Details

Journal
Axioms
Published
2026-09-16
DOI
https://doi.org/10.3390/axioms15090691
Primary Topic
Mathematical functions and polynomials
Type
article
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0.00
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article

Applications of New Laplace Convolution Integrals Involving Bessel and Generalized Hypergeometric Functions

Juan Luis González‐Santander
Axioms
Mathematical functions and polynomials
article

Applications of New Laplace Convolution Integrals Involving Bessel and Generalized Hypergeometric Functions

Juan Luis González‐Santander
article en

Abstract

We compute several new convolution integrals using the Laplace convolution theorem and known inverse Laplace transforms available in the literature. We illustrate the applicability of these results through a wide variety of examples, including random walks, diffraction, and heat transfer problems. As a by-product, we obtain a novel integral representation of the modified Struve function of order zero.

AxiomsVol. 15(9)
Universidad de Oviedo (ES)
Openalex Percentile: Top 6%
Mathematical functions and polynomials
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Applications of New Laplace Convolution Integrals Involving Bessel and Generalized Hypergeometric Functions — Juan Luis González‐Santander · Axioms (2026) | TGRS Research Map | TGRS