Geodesic
New identities on some generalized integral transforms and their applications
Filomat, Tome 36 (2022) no. 9, p. 2947

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

In this paper the authors gave an iteration identity for the generalized Laplace transform L 2n and the generalized Glasser transform G 2n. Using this identity a Parseval-Goldstein type theorem for the L 2n-transform and the G 2n-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.
DOI : 10.2298/FIL2209947A
Classification : 44A10, 44A15, 33C10, 44A35
Keywords: Laplace transforms, G2n-transforms, Hv, n-transforms, Kv, n-transforms, E2n, 1-transforms, Parseval-Goldstein type theorems 
Fatih Aylikci; Nese Dernek; Gulesin Balaban. New identities on some generalized integral transforms and their applications. Filomat, Tome 36 (2022) no. 9, p. 2947 . doi: 10.2298/FIL2209947A
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     title = {New identities on some generalized integral transforms and their applications},
     journal = {Filomat},
     pages = {2947 },
     year = {2022},
     volume = {36},
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     doi = {10.2298/FIL2209947A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2209947A/}
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