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Integrals of Special Functions and Umbral Methods

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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… Click to show full 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.

Keywords: special functions; functions umbral; umbral methods; integrals special

Journal Title: International Journal of Applied and Computational Mathematics
Year Published: 2021

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