We derive integrals of combination of Gauss and Bessel functions, by the use of umbral techniques. We show that the method allows the possibility of pursuing new and apparently fruitful avenues in the theory of special functions, displaying interesting links with the theory and the formalism of integral transforms.
Dattoli G., Germano B., Licciardi S., Martinelli M.R. (2021). Integrals of Special Functions and Umbral Methods. INTERNATIONAL JOURNAL OF APPLIED AND COMPUTATIONAL MATHEMATICS, 7(4) [10.1007/s40819-021-01047-w].
Integrals of Special Functions and Umbral Methods
Licciardi S.
Writing – Review & Editing
;
2021-01-01
Abstract
We derive integrals of combination of Gauss and Bessel functions, by the use of umbral techniques. We show that the method allows the possibility of pursuing new and apparently fruitful avenues in the theory of special functions, displaying interesting links with the theory and the formalism of integral transforms.
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