Some results on the Pv,2n , Kv,n , and Hv,n -integral transforms
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,
- ISSN: 1300-0098
- Yayın Aralığı: Yılda 6 Sayı
- Yayıncı: TÜBİTAK
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