Determination of Eigenvalues Using a Generalized Laplace Transform
| Autor: | Morris D. Friedman |
|---|---|
| Rok vydání: | 1950 |
| Předmět: |
Hermite polynomials
Mathematics::Classical Analysis and ODEs General Physics and Astronomy Green's function for the three-variable Laplace equation Classical orthogonal polynomials Associated Legendre polynomials symbols.namesake Laplace transform applied to differential equations symbols Laguerre polynomials Two-sided Laplace transform Jacobi polynomials Applied mathematics Mathematics |
| Zdroj: | Journal of Applied Physics. 21:1333-1337 |
| ISSN: | 1089-7550 0021-8979 |
| DOI: | 10.1063/1.1699599 |
| Popis: | The classical eigenvalue problems of mathematical physics are solved by means of a Laplace Transform extended, not over the interval (0, ∞) but over the interval of interest for the differential equation. The method is applied to the Hermite, Laguerre and Bessel equations and to the equation for the hypergeometric polynomials which include the Legendre, Tschebyscheff, and Jacobi polynomials as special cases. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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