1. New identities on some generalized integral transforms and their applications
- Author
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Fatih Aylikci, Nese Dernek, Gulesin Balaban, and AYLIKCI F., Dernek N., Balaban G.
- Subjects
Matematik ,E2n,1-transforms ,Parseval-Goldstein type theo-rems ,General Mathematics ,Hv,n-transforms ,Temel Bilimler (SCI) ,Laplace transforms ,MATHEMATICS ,Kv,n-transforms ,Genel Matematik ,Fizik Bilimleri ,Natural Sciences (SCI) ,Physical Sciences ,G2n-transforms - Abstract
© 2022, University of Nis. All rights reserved.In this paper the authors gave an iteration identity for the generalized Laplace transform L2n and the generalized Glasser transform G2n. Using this identity a Parseval-Goldstein type theorem for the L2n-transform and the G2n-transform is given. By making use of these results a number of new Parseval-Goldstein type identities are obtained for these and many other well-known integral transforms.The identities proven in this paper are shown to give rise to useful corollaries for evaluating infinite integrals of special functions. Some examples are also given.
- Published
- 2022