Journal
FILOMAT
Volume 36, Issue 9, Pages 2947-2960Publisher
UNIV NIS, FAC SCI MATH
DOI: 10.2298/FIL2209947A
Keywords
Laplace transforms; G2n-transforms; Hv; n-transforms; Kv; E2n; 1-transforms; Parseval-Goldstein type theorems
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In this paper, the authors provide iteration identities for the generalized Laplace transform L2n and the generalized Glasser transform G2n. Based on these identities, a Parseval-Goldstein type theorem for the L2n-transform and G2n-transform is presented, leading to new identities for these and other integral transforms. These proven identities have useful corollaries for evaluating infinite integrals of special functions. Several examples are provided.
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 ParsevalGoldstein 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.
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