Sturm-Liouville eigenproblems with an interior double pole

Autor:	Dominic P. Clemence, Thomas M. Acho
Rok vydání:	1995
Předmět:	Simple (abstract algebra) Applied Mathematics General Mathematics Dispersion relation Mathematical analysis General Physics and Astronomy Order (ring theory) Sturm–Liouville theory Interval (mathematics) Mathematics::Spectral Theory Mathematics::Representation Theory Mathematics
Zdroj:	ZAMP Zeitschrift f�r angewandte Mathematik und Physik. 46:459-474
ISSN:	1420-9039 0044-2275
DOI:	10.1007/bf01003562
Popis:	The self-adjoint Sturm-Liouville eigenproblem with an interior double pole and two simple turning points is examined. Using asymptotic forms of the Whittaker functions asymptotic dispersion relations are obtained for high modes; and on employing the Titchmarsh-Weyl m-functions as well as the appropriate Whittaker functions exact solutions are obtained valid on the whole interval for the low order modes.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::2f652670cac8992cbd709ed2546dce5a https://doi.org/10.1007/bf01003562 Zobrazit plný text záznamu Full text from SpringerLink