- Turkish Journal of Mathematics
- Vol: 41 Issue: 2
- Some results on the Pv,2n , Kv,n , and Hv,n -integral transforms
Some results on the Pv,2n , Kv,n , and Hv,n -integral transforms
Authors : Ayşe Neşe Dernek, Fatih Aylikci
Pages : 337-349
View : 8 | Download : 5
Publication Date : 9999-12-31
Article Type : Makaleler
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