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New identities on some generalized integral transforms and their applications
- Source :
- Filomat. 36:2947-2960
- Publication Year :
- 2022
- Publisher :
- National Library of Serbia, 2022.
-
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.
Details
- ISSN :
- 24060933 and 03545180
- Volume :
- 36
- Database :
- OpenAIRE
- Journal :
- Filomat
- Accession number :
- edsair.doi.dedup.....ad38fa3ae0d0fd7ad535434e2d0c3928