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Mathematical Methods in the Applied Sciences
Article . 1980 . Peer-reviewed
License: Wiley Online Library User Agreement
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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
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Article . 1980
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https://dx.doi.org/10.1002/mma...
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A monotonicity property of bessel functions

A monotonicity property of Bessel functions
descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1980 English Publisher:WileyJournal:Mathematical Methods in the Applied Sciences, volume 2, pages 480-488 (issn: 0170-4214, eissn: 1099-1476, Copyright policy )
Authors: R. Richberg; R. Leis;

doi: 10.1002/mma.1670020410

A monotonicity property of bessel functions

Abstract

AbstractSome monotonicity results are given for the remainder terms in the asymptotic expansion for x → ∞ of the function Jv(x)Jv+n(x) + Yv(x Yv+n(x), v ε R, n ε Z.

Keywords

Bessel functions, monotonicity properties, asymptotic expansion, inequalities, Bessel and Airy functions, cylinder functions, \({}_0F_1\), Nicholson's formula

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