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Some relations between Bessel and Legendre Functions

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Summary

Certain infinite integrals involving Bessel Functions are expressed in terms of Associated Legendre Functions in oblate and prolate spheroidal coordinates. Some expansions of Bessel Functions in series involving Legendre Functions are also given.

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Cooke, J.C. Some relations between Bessel and Legendre Functions. Monatshefte für Mathematik 60, 322–328 (1956). https://doi.org/10.1007/BF01300852

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