Identities for the Widder transform and transforms with Bessel function kernels
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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.
论文关键词:Laplace transforms,Widder potential transforms,Hν-transforms,Kν-transforms,Yν-transforms,Parseval–Goldstein type theorems
论文评审过程:Available online 14 April 2011.
论文官网地址:https://doi.org/10.1016/j.amc.2011.03.133