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Repeated Diagonalization and the Numerical Computation of the Titchmarsh-Weyl m(Formula)-Function

✍ Scribed by Brown, B. M.; Eastham, M. S. P.; Evans, W. D.; Kirby, V. G.


Book ID
120149849
Publisher
The Royal Society
Year
1994
Tongue
English
Weight
462 KB
Volume
445
Category
Article
ISSN
0962-8444

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Numerical computation and analysis of th
✍ M.R.M Witwit; N.A Gordon; J.P Killingbeck πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 110 KB

This article is concerned with the Titchmarsh-Weyl m ( ) function for the di erential equation d 2 y=d x 2 +[ -q(x)]y=0. The test potential q(x) = x 2 , for which the relevant m ( ) functions are meromorphic, having simple poles at the points = 4k + 1 and = 4k + 3, is studied in detail. We are able