Monotonicity of some modified Bessel function products

Robert Penfold; Jean-Marc Vanden-Broeck; Scott Grandison

doi:10.1080/10652460601041219

Monotonicity of some modified Bessel function products

Robert Penfold, Jean-Marc Vanden-Broeck, Scott Grandison

School of Computing Sciences

Research output: Contribution to journal › Article › peer-review

23 Citations (Scopus)

Abstract

For non-negative real order, the product of modified Bessel functions of first and second kind is shown to be strictly decreasing for positive real arguments. After recalling some established results, only elementary methods are required to complete the proof.

Original language	English
Pages (from-to)	139-144
Number of pages	6
Journal	Integral Transforms and Special Functions
Volume	18
Issue number	2
DOIs	https://doi.org/10.1080/10652460601041219
Publication status	Published - 2007

Access to Document

10.1080/10652460601041219

Cite this

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title = "Monotonicity of some modified Bessel function products",

abstract = "For non-negative real order, the product of modified Bessel functions of first and second kind is shown to be strictly decreasing for positive real arguments. After recalling some established results, only elementary methods are required to complete the proof.",

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DO - 10.1080/10652460601041219

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JO - Integral Transforms and Special Functions

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