New identities and Parseval type relations for the generalized integral transforms \(\mathcal{L}_{4 n}\), \(\mathcal{P}_{4 n}\), \(\mathcal{F}_{s, 2 n}\) and \(\mathcal{F}_{c, 2 n}\)
DOI10.1016/J.AMC.2015.07.095zbMath1410.44001OpenAlexW2467496545MaRDI QIDQ668702
Eyüp Ömer Ölçüçü, Neşe Dernek, Fatih Aylıkçı
Publication date: 19 March 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2015.07.095
Laplace transforms\(\mathcal{E}_{4 n, 1}\)-transforms\(\mathcal{L}_{4 n}\)-transforms\(\mathcal{P}_{4 n}\)-transformsParseval-Goldstein type theoremsWidder potential transforms
Special integral transforms (Legendre, Hilbert, etc.) (44A15) Laplace transform (44A10) Integral transforms of special functions (44A20)
Cites Work
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- A theorem on Widder's potential transform and its applications
- Identities for the exponential integral and the complementary error transforms
- Identities for the \(\mathcal {E}_{2,1}\)-transform and their applications
- Some Parseval-Goldstein type identities involving the \(\mathcal F_{S,2}\)-transform, the \(\mathcal F_{C,2}\)-transform and the \(\mathcal P_{4}\)-transform and their applications
- A Parseval-Goldstein type theorem on the Widder potential transform and its applications
- Theorems on L 2 -transform and its applications
- A note on the Widder transform related to the Poisson integral for a half‐plane†
- A generalized integral transform and an alternative technique for solving linear ordinary differential equations
- Parseval–Goldstein type identities involving the ℒ4-transform and the 𝒫4-transform and their applications
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