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A Bessel function inequality*
Published online by Cambridge University Press: 14 November 2011
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
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 81 , Issue 3-4 , 1978 , pp. 187 - 194
- Copyright
- Copyright © Royal Society of Edinburgh 1978
References
1Everitt, W. N. and Jones, D. S.On an integral inequality. Proc. Roy. Soc. London Sect. A 357 (1977), 271–288.Google Scholar
2Hardy, G. H., Littlewood, J. E. and Polya, G.Inequalities (Cambridge: University Press, 1934).Google Scholar
3Everitt, W. N.On an extension to an integro-differential inequality of Hardy, Littlewood and Polya. Proc. Roy. Soc. Edinburgh Sect. A 69 (1972), 295–333.Google Scholar
4Watson, G. N.A treatise on the theory of Bessel functions (Cambridge: University Press, 1944).Google Scholar