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Asymptotics for the remainder of a class of positive quadratures for integrands with an interior singularity

โœ Scribed by Knut Petras


Publisher
Springer-Verlag
Year
1993
Tongue
English
Weight
545 KB
Volume
65
Category
Article
ISSN
0029-599X

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โœ B.J. Harris; D. Race ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 718 KB

We consider the asymptotic form of the eigenvalues of the linear differential equation \[ -y^{\prime \prime}(x)+q(x) y(x)=\lambda y(x), \quad-\infty<a<x<b<x, \] where \(a<0<b, q(x)\) is singular at \(x=0\), and \(y\) satisfies appropriate conditions at \(a, 0\), and \(b\). This extends previous wo