Identities and Parseval type relations for the L2-transform

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摘要

In the present paper, the authors introduce identities for the L2-transform which yield a Parseval type relationship for the L2-transform. The Parseval type relationship proven in this paper give rise to useful corollaries for evaluating indefinite integrals of special functions. Some examples are also given as illustrations of the results presented here.

论文关键词:L2-transforms,Laplace transforms,Widder potential transform,Parseval type theorems

论文评审过程:Available online 29 June 2007.

论文官网地址:https://doi.org/10.1016/j.amc.2007.06.009