A new index transform with the square of Whittaker's function

Semyon Yakubovich

A new index transform with the square of Whittaker's function

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arxiv 2503.23770 v1 pith:CPWSFVMO submitted 2025-03-31 math.CA

Semyon Yakubovich This is my paper

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keywords indexfunctionsquaretransformwhittakerbesselcasescorresponding

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An index transform, involving the square of Whittaker's function is introduced and investigated. The corresponding inversion formula is established. Particular cases cover index transforms of the Lebedev type with products of the modified Bessel functions.

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Generalized product formulas for Whittaker's functions and a novel class of index transforms
math.CA 2025-06 conditional novelty 6.0 of 10

New integral transforms and explicit inverse formulas are derived for products of Whittaker functions with different indices, generalizing known Bessel-type index transforms.

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