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arXiv · 1206.1168

A new Kontorovich-Lebedev-like transformation

Semyon Yakubovich
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Abstract

A different application of the familiar integral representation for the modifed Bessel function drives to a new Kontorovich-Lebedev-like integral transformation of a general complex index. Mapping and operational properties, a convolution operator and inversion formula are established. Solvability conditions and explicit solutions of the corresponding class of convolution integral equations are exhibited.

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Semyon Yakubovich. 2012-06-06. A new Kontorovich-Lebedev-like transformation. https://arxiv.org/abs/1206.1168

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