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In the present paper, the authors introduce several new integral transformsincluding the Ln-transform, the L2n-transform and P2n-transform generalizationsof the classical Laplace transform and the classical Stieltjes transform asrespectively. It is shown that the second iterate of the L2n-transform isessentially the P2n-transform. Using this relationship, a few newParseval-Goldstein type identities are obtained. The theorem and the lemmasthat are proven in this article are new useful relations for evaluatinginfinite integrals of special functions. Some related illustrative examples arealso given.

Identities for the Ln-transform, the L2n-transform and the P2n transform and their applications