The locus of the zeros of trigonometric functions under differintegration
type: Item
instance of: scholarly article
zbMATH Open document ID: 0985.26004
author: Alastair McNaughton
publication date: 2002-05-16T00:00:00Z
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 33B10
zbMATH DE Number: 1626265
zbMATH Keywords: fractional derivative
zbMATH Keywords: dynamical system
zbMATH Keywords: location of zeros
zbMATH Keywords: trigonometric functions
MaRDI profile type: Publication
title: The locus of the zeros of trigonometric functions under differintegration
published in: Journal of Fractional Calculus
review text: The zeros of the \(n\)-th derivative of the sine function are located equidistant on the real line. Replacing the derivative by a fractional derivative, the question is posed to locate the zeros of \(\sin^{(\nu)}(x)\) for noninteger \(\nu\), and of the other trigonometric functions. It turns out that the locus of the zeros form interesting patterns whose dynamics may prove to be worth in some modeling applications.
reviewed by: W. Koepf
description: scientific article; zbMATH DE number 1626265