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

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


Book ID
123644417
Publisher
The Royal Society
Year
1994
Tongue
English
Weight
367 KB
Volume
445
Category
Article
ISSN
0962-8444

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✍ M.R.M Witwit; N.A Gordon; J.P Killingbeck 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 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