Two inequalities for parabolic cylinder functions
Published online by Cambridge University Press: 24 October 2008
Extract
In this paper upper bounds are established for the principal solution of the differential equation
and its derivative, for unrestricted values of the complex variable t and the complex parameter μ. The results may have little interest in their own right, but they are of great value in developing the asymptotic theory of linear second-order differential equations in a domain containing two turning points. Equation (1·1) is the simplest example of a differential equation of this type.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 57 , Issue 4 , October 1961 , pp. 811 - 822
- Copyright
- Copyright © Cambridge Philosophical Society 1961
References
REFERENCES
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