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A Bessel function inequality*

Published online by Cambridge University Press:  14 November 2011

A. D. Rawlins
Affiliation:
Department of Mathematics, University of Dundee

Synopsis

This paper proves some inequalities for the imaginary part of the transcendental function in a simply connected sector of the complex z-plane, where 0 < v < 1, and part of the boundary depends on v. These inequalities arose in a work of Everitt and Jones [1] which was on a general integral inequality. We give an alternative method of proving these Bessel function inequalities.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 1978

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References

1Everitt, W. N. and Jones, D. S.On an integral inequality. Proc. Roy. Soc. London Sect. A 357 (1977), 271288.Google Scholar
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4Watson, G. N.A treatise on the theory of Bessel functions (Cambridge: University Press, 1944).Google Scholar
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