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.
Authors
- Juan Luis González‐Santander (ORCID: https://orcid.org/0000-0001-5348-4967)
Institutions
- Universidad de Oviedo (ES)
Publication Details
- Journal
- Axioms
- Published
- 2026-09-16
- DOI
- https://doi.org/10.3390/axioms15090691
- Primary Topic
- Mathematical functions and polynomials
- Type
- article
- Field-Weighted Citation Impact
- 0.00