JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS, no.4, ss.1-16, 2014 (Diğer Kurumların Hakemli Dergileri)
In the present paper, the authors introduce several new integral
transforms including the Ln-transform, the L2n-transform and P2n-transform
generalizations of the classical Laplace transform and the classical Stieltjes
transform as respectively.It is shown that the second iterate of the L2n-transform
is essentially the P2n-transform. Using this relationship, a few new ParsevalGoldstein type identities are obtained.The theorem and the lemmas that are
proven in this article are new useful relations for evaluating infinite integrals
of special functions. Some related illustrative examples are also given.