Journal of Pure and Applied Mathematics: Advances and Applications
Author's: Neşe Dernek
Pages: [75] - [95]
Received Date: March 26, 2015
Submitted by:
DOI: http://dx.doi.org/10.18642/jpamaa_7100121475
In the present paper, the Laplace transform, its generalizations the
and 
transforms, the Widder transform, and the
transform are examined. The main results
of the paper, Parseval-Goldstein type theorems and corollaries, are
proven in Section 2. Some illustrative examples for these relations
are given in Section 2 and Section 3. The theorems and the lemmas that
are proven in this article are new useful relations for evaluating
indefinite integrals of special functions. In Section 3, the author
derives some infinite integrals which include the error function, the
complementary error function, elementary functions, and some special
functions.
Laplace transforms,
Widder potential transform, Parseval type
theorems.
