Theorems on L 2 -transform and its applications
- 1 February 1999
- journal article
- research article
- Published by Taylor & Francis in Complex Variables and Elliptic Equations
- Vol. 38 (2) , 95-107
- https://doi.org/10.1080/17476939908815157
Abstract
In the present paper the author proves Parseval-Goldstein-type theorems involving a Laplace-type integral tranform, the Widder transform and the K-transform. The theorem is then shown to yield a number of new identities involving several well-known integral transforms. Using the theorems and its corollaries, a number of interesting infinite integrals of elementary and special functions are presented. Some illustrative examples are also given.Keywords
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