Determination of poles of sectionally meromorphic functions
type: Item
instance of: scholarly article
title: Determination of poles of sectionally meromorphic functions
zbMATH Open document ID: 0615.65033
DOI: 10.1016/0377-0427(86)90223-2
author: Yanyan Li
published in: Journal of Computational and Applied Mathematics
publication date: 1986-01-01T00:00:00Z
review text: The author proposes a method for locating the poles (and, in a special case, the zeros) inside a closed smooth curve C of a function F meromorphic except for discontinuities along some other smooth closed curves (which may intersect C), where F is assumed to satisfy a Riemann- Hilbert problem with known Hölder-continuous coefficients. First, the values on C of another function R with the same poles as F but no other discontinuities are constructed, and then a method of \textit{L. Abd-Elall}, \textit{L. Delves} and \textit{J. Reid} [Numerical methods for nonlinear algebraic equations, Conf. Univ. Essex 1969, 47-59 (1970; Zbl 0245.65019)] is applied to R. Two simple applications illustrate the method.
Mathematics Subject Classification ID: 65E05
Mathematics Subject Classification ID: 65H05
Mathematics Subject Classification ID: 30C15
Mathematics Subject Classification ID: 30E25
zbMATH DE Number: 3997012
zbMATH Keywords: meromorphic functions
zbMATH Keywords: location of poles
zbMATH Keywords: location of zeros
zbMATH Keywords: Riemann- Hilbert problem
reviewed by: Martin H. Gutknecht
MaRDI profile type: Publication
full work available at URL: 0377-0427(86)90223-2
OpenAlex ID: W2089151345
cites work: Q5657598
cites work: A generalization of the Siewert–Burniston method for the determination of zeros of analytic functions
cites work: Q5515593
cites work: A modification of the Delves-Lyness method for locating the zeros of analytic functions
cites work: Q5327757
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description: scientific article; zbMATH DE number 3997012