Turkish Journal of Mathematics
DOI
10.3906/mat-1501-79
Abstract
In this paper, the authors consider the $\mathcal{P}_{v,2n}$-transform, the $\mathcal{G}_n$-transform, and the $\mathcal{K}_{v,n}$-transform as generalizations of the Widder potential transform, the Glasser transform, and the $\mathcal{K}_v$-transform, respectively. Many identities involving these transforms are given. A number of new Parseval-Goldstein type identities are obtained for these and many other well-known integral transforms. Some useful corollaries for evaluating infinite integrals of special functions are presented. Illustrative examples are given for the results.
Keywords
Laplace transforms, $\mathcal{L}_{2n}$-transforms, Widder potential transforms, Glasser transforms, Hankel transforms, $\mathcal{K}_v$ transforms, $\mathcal{P}_{v, 2n}$-transforms, $\mathcal{G}_n$-transforms, Parseval-Goldstein type theorems
First Page
337
Last Page
349
Recommended Citation
DERNEK, AYŞE NEŞE and AYLIKCI, FATİH
(2017)
"Some results on the $\mathcal{P}_{v,2n}$, $\mathcal{K}_{v,n}$, and $\mathcal{H}_{v,n}$-integral transforms,"
Turkish Journal of Mathematics: Vol. 41:
No.
2, Article 11.
https://doi.org/10.3906/mat-1501-79
Available at:
https://journals.tubitak.gov.tr/math/vol41/iss2/11
