Laplace Convolution Integrals Involving Trigonometric and Hyperbolic Functions
Abstract
We calculate several finite integrals involving trigonometric and hyperbolic functions by applying the Laplace convolution theorem and known inverse Laplace transform formulas. As a consequence, we obtain a new integral representation of the Kelvin function bei(z), and a new reduction formula for a particular generalized hypergeometric function. In addition, we present several new inverse Laplace transform formulas that do not appear to have been reported in the existing literature.
Fields of Study & Subjects
Mathematical functions and polynomials
Quantum Mechanics and Non-Hermitian Physics
Mathematical Inequalities and Applications
Publication details
- Journal / source
- Axioms
- Publisher
- MDPI AG
- Volume
- 15
- Issue
- 6
- Pages
- 416–416
- Publication date
- 3 June 2026
- Language
- EN