Theoretical analysis reveals novel Laplace convolution integrals for hypergeometric and Bessel functions, highlighting versatile applications in heat transfer, diffraction, and random walks.
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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Juan Luis González‐Santander (2026) studied this question.
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