Monotonic sequences related to zeros of Bessel functions
type: Item
instance of: scholarly article
title: Monotonic sequences related to zeros of Bessel functions
zbMATH Open document ID: 1171.33304
author: Lee Lorch
author: Martin E. Muldoon
published in: Numerical Algorithms
publication date: 2009-04-29T00:00:00Z
review text: Some inequalities concerning the values of the Bessel functions are proved by A. Akiyama and Y. Tanigawa in the course of their work on Salem numbers and uniform distribution modulo 1. This raises the question of inequalities and monotonicity properties for the sequences of values of one cylinder function at the zeros of another such function. Such results by differential equations methods are derived in this paper.
reviewed by: Juri M. Rappoport
Mathematics Subject Classification ID: 33C10
Mathematics Subject Classification ID: 34C10
zbMATH DE Number: 5549484
zbMATH Keywords: Bessel functions
zbMATH Keywords: cylinder functions
zbMATH Keywords: inequalities
zbMATH Keywords: monotonicity properties
MaRDI profile type: Publication
full work available at URL: s11075-008-9189-4
OpenAlex ID: W2056712685
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DOI: 10.1007/S11075-008-9189-4
description: scientific article; zbMATH DE number 5549484