Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Table of Contents - 1978 - Volume 81, Issue 3-4  

Research Article

A Bessel function inequality*

A. D. Rawlinsa1

a1 Department of Mathematics, University of Dundee

Synopsis

This paper proves some inequalities for the imaginary part of the transcendental function S0308210500010544_inline1S0308210500010544_inline2 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.

(Received November 14 1977)

Footnotes

* This paper was assisted in publication by a grant from the Carnegie Trust for the Universities of Scotland.