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Orthogonality of the Ferrers' associated Legendre functions of the second kind with imaginary argument

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ABSTRACT In this work we study the associated Legendre functions of the second kind with a purely imaginary argument . We derive the conditions under which they provide a set… Click to show full abstract

ABSTRACT In this work we study the associated Legendre functions of the second kind with a purely imaginary argument . We derive the conditions under which they provide a set of square integrable functions when and we prove the relevant orthogonality relation that they satisfy.

Keywords: second kind; imaginary argument; legendre functions; functions second; associated legendre

Journal Title: Integral Transforms and Special Functions
Year Published: 2017

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