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A Parseval-Goldstein type theorem on the widder potential transform and its applications

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  • O. YĆ¼rekli
  • I. Sadek

Abstract

In this paper a Parseval-Goldstein type theorem involving the Widder potential transform and a Laplace type integral transform is given. The theorem is then shown to yield a relationship between the š¯’¦ -transform and the Laplace type integral transform. The theorem yields some simple algorithms for evaluating infinite integrals. Using the theorem and its results, a number of new infinite integrals of elementary and special functions are presented. Some illustrative examples are also given.

Suggested Citation

  • O. YĆ¼rekli & I. Sadek, 1991. "A Parseval-Goldstein type theorem on the widder potential transform and its applications," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 14, pages 1-8, January.
    • Handle: RePEc:hin:jijmms:160375
    DOI: 10.1155/S0161171291000704
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