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Normal solutions of difference equations, Euler's functions and spirals (Q704879)

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scientific article; zbMATH DE number 2130336
Language Label Description Also known as
English
Normal solutions of difference equations, Euler's functions and spirals
scientific article; zbMATH DE number 2130336

    Statements

    title
    Normal solutions of difference equations, Euler's functions and spirals (English)
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    author
    Detlef Gronau
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    publication date
    20 January 2005
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    review text
    For the linear homogeneous difference equation of first order \[ f(x+1)= \alpha(x)\cdot f(x) \] a normal solution is characterized by its asymptotic behaviour and defined by means of a product representation. Historical remarks and several examples are given.
    0 references
    reviewed by
    Lothar Berg
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    zbMATH Keywords
    special functions
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    linear homogeneous difference equation
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    asymptotic behaviour
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    normal solution
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    principal solution
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    gamma function
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    beta function
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    spirals
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    Euler's function
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    Identifiers

    Mathematics Subject Classification ID
    39A10
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    39-03
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    39A11
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    01A50
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    zbMATH DE Number
    2130336
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    OpenAlex ID
    W2146154893
    0 references
     
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