A new method of solving Hermite's differential equation using the \(\mathcal L_2\)-transform.

DOI10.1016/S0096-3003(02)00509-XzbMath1043.34007OpenAlexW3007225734WikidataQ115339744 ScholiaQ115339744MaRDI QIDQ1412464

Osman Yürekli, Scott O. Wilson

Publication date: 25 November 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00509-x

zbMATH Keywords

Laplace transformHermite polynomialThe \(\mathcal L_2\)-transform

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Laplace transform (44A10)

Related Items (7)

Parseval–Goldstein type identities involving the ℒ₄-transform and the 𝒫₄-transform and their applications ⋮ Identities for the \(\mathcal {E}_{2,1}\)-transform and their applications ⋮ A generalized 𝒯-transform for the Fourier-type functional and its applications ⋮ Theory and applications on a new generalized Laplace‐type integral transform ⋮ 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 ⋮ Identities and Parseval type relations for the \({\mathcal L} _2\)-transform ⋮ A generalization of the Widder potential transform and applications

Cites Work

• A Parseval-Goldstein type theorem on the Widder potential transform and its applications
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