Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4619274 | Journal of Mathematical Analysis and Applications | 2009 | 11 Pages |
Abstract
A proof of an orthogonality relation for the MacDonald's functions with identical arguments but unequal complex lower indices is presented. The orthogonality is derived first via a heuristic approach based on the Mehler–Fock integral transform of the MacDonald's functions, and then proved rigorously using a polynomial approximation procedure.
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