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A computer method for approximating the zeros of certain entire functions (Q1094099)

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scientific article; zbMATH DE number 4024644
Language Label Description Also known as
English
A computer method for approximating the zeros of certain entire functions
scientific article; zbMATH DE number 4024644

    Statements

    title
    A computer method for approximating the zeros of certain entire functions (English)
    0 references
    author
    Amy C. King
    0 references
    J. D. Patterson
    0 references
    publication date
    1987
    0 references
    review text
    Considering the Lindelöf function \(f(z)=\prod^{\infty}_{N=1}(1- z/N^ A)\), \(A>1\), z complex [cf. the first author and \textit{S. M. Shah} [ibid. 2, 579-593 (1972; Zbl 0262.30027)] the authors first prove a result for determining bounds of f'(x)/f(x), x real. Using such a result they provide a computer program for approximating the zeros of f'(z).
    0 references
    zbMATH Keywords
    entire functions
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    zeros of the derivate
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    Lindelöf function
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    reviewed by
    H. P. Dikshit
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    Identifiers

    Mathematics Subject Classification ID
    65H05
    0 references
    65E05
    0 references
    30C15
    0 references
    30E10
    0 references
    zbMATH DE Number
    4024644
    0 references
     
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