A theorem on the glasser transform and its applications
- 1 January 1995
- journal article
- research article
- Published by Taylor & Francis in Complex Variables and Elliptic Equations
- Vol. 27 (1) , 7-15
- https://doi.org/10.1080/17476939508814802
Abstract
In the present paper the authors prove a Parseval-Goldstein type theorem involving the Glasser transform, the K-transform of order zero, and the Fourier cosine transform. The theorem is then shown to yield a number of new identities on the Glasser transform, the Fourier cosine transform, the K-transform of order zero, the Laplace transform, and the Widder potential transform. Using the theorem 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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