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A property of the asymptotic series for a class of Titchmarsh–Weyl m-functions
Published online by Cambridge University Press: 14 November 2011
Synopsis
In an earlier paper [6] we showed that if q ϵ CN[0, ε) for some ε > 0, then the Titchmarsh–Weyl m(λ) function associated with the second order linear differential equation
has the asymptotic expansion
as |A| →∞ in a sector of the form 0 < δ < arg λ < π – δ.
We show that if the real valued function q admits the expansion
in a neighbourhood of 0, then
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 102 , Issue 3-4 , 1986 , pp. 253 - 257
- Copyright
- Copyright © Royal Society of Edinburgh 1986
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