Identities for the Widder transform and transforms with Bessel function kernels

Applied Mathematics and Computation（2011）

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摘要

In the present paper, we consider the classical Widder transform, the Hν-transform, the Kν-transform, and the Yν-transform. Some identities involving these transforms and many others are given. By making use of these identities, a number of new Parseval–Goldstein type identities are obtained for these and other well-known integral transforms.

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关键词

Laplace transforms,Widder potential transforms,Hν-transforms,Kν-transforms,Yν-transforms,Parseval–Goldstein type theorems

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