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Physical Sciences and Engineering Mathematics Analysis

A Nicholson-type integral for the cross-product of the Bessel functions

Article ID Journal Published Year Pages File Type
6417407 Journal of Mathematical Analysis and Applications 2016 11 Pages PDF
Abstract

We prove a new Nicholson-type integral representation for the cross-product of the Bessel functions Jν(w)Yν(z)−Yν(w)Jν(z), and related integral representations for |Hν(1)(z)|2, where Hν(1) is the Hankel function of the first kind.

Keywords
Hankel functionsBessel functions
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Preview
A Nicholson-type integral for the cross-product of the Bessel functions
Authors
Tomasz Hrycak, Sebastian Schmutzhard,
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Journal
Journal of Mathematical Analysis and Applications
Journal: Journal of Mathematical Analysis and Applications
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