Turkish Journal of Mathematics
Article Title
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.
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
