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Some strong limit-2 and Dirichiet criteria for fourth order differential expressions
Published online by Cambridge University Press: 24 October 2008
Abstract
Conditions are given on the real coefficients p, q and r and the weight w, for the fourth order formally symmetric differential expression
to have the properties of being strong limit-2 and Dirichlet at ∞, when considered in the weighted Hilbert space, . These extend existing results due to both W. N. Everitt and V. Krishna Kumar and cover an expression which is important in the study of certain orthogonal polynomials.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 108 , Issue 2 , September 1990 , pp. 409 - 416
- Copyright
- Copyright © Cambridge Philosophical Society 1990
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