Geodesic
A Theorem in Operational Calculus and some Integrals involving Legendre, Bessel and E-Functions
Glasgow mathematical journal, Tome 2 (1956) no. 4, pp. 173-179

Voir la notice de l'article provenant de la source Cambridge University Press

In this paper we prove a theorem in Operational Calculus and use it to evaluate a few infinite integrals involving Legendre, Bessel and E-functions. We writewhenandwhen(2) is a generalisation of (1) as given by Meijer [2] and it reduces to (1) when v = ±1⁄2 by virtue of the relation 
Rathie, C. B. A Theorem in Operational Calculus and some Integrals involving Legendre, Bessel and E-Functions. Glasgow mathematical journal, Tome 2 (1956) no. 4, pp. 173-179. doi: 10.1017/S2040618500033293
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[(1)] (1)MacRobert, T. M., Spherical Harmonics, Methuen (1947). Google Scholar

[(2)] (2)Meijer, C. S., “Uber eine Erweiterung der Laplace-Transformation”, Proc. Kon. Neder. Akad. van Wetenschappen, (5), 43 (1940). Google Scholar

[(3)] (3)Ragab, F. M., Proc. Glasg. Math. Assn., Pt. Ill, 1 (1953). Google Scholar

[(4)] (4)Watson, G. N., Theory of Bessel Functions, (1944). Google Scholar

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