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- Title
IDENTITIES FOR THE L<sub>n</sub>-TRANSFORM, THE L<sub>2n</sub>-TRANSFORM AND THE P<sub>2n</sub> TRANSFORM AND THEIR APPLICATIONS.
- Authors
DERNEK, NESE; AYLIKCI, FATIH
- Abstract
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 Parseval-Goldstein 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.
- Subjects
MATHEMATICAL inequalities; INFINITE processes; INTEGRAL calculus; MATHEMATICAL transformations; IMPROPER integrals; INFINITE integrals; SPECIAL functions; MATHEMATICAL analysis
- Publication
Journal of Inequalities & Special Functions, 2014, Vol 5, Issue 4, p1
- ISSN
2217-4303
- Publication type
Article