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DLMF:15.10.E3 - MaRDI portal

DLMF:15.10.E3 (Q5814)

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DLMF:15.10.E3
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    Statements

    DLMF defining formula
    𝒲 ⁡ { f 1 ⁢ ( z ) , f 2 ⁢ ( z ) } = ( 1 - c ) ⁢ z - c ⁢ ( 1 - z ) c - a - b - 1 . Wronskian subscript 𝑓 1 𝑧 subscript 𝑓 2 𝑧 1 𝑐 superscript 𝑧 𝑐 superscript 1 𝑧 𝑐 𝑎 𝑏 1 {\displaystyle{\displaystyle\mathscr{W}\left\{f_{1}(z),f_{2}(z)\right\}=(1-c)z% ^{-c}(1-z)^{c-a-b-1}.}}
    0 references
    Symbols used
    Wronskian
    DLMF defining formula
    𝒲 Wronskian {\displaystyle{\displaystyle\mathscr{W}}}
    xml-id
    C1.S13.Px2.p1.m3adec
    0 references
    complex variable
    DLMF defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C15.S1.XMD3.m1bdec
    0 references
    real or complex parameter
    DLMF defining formula
    a 𝑎 {\displaystyle{\displaystyle a}}
    xml-id
    C15.S1.XMD4.m1bdec
    0 references
    real or complex parameter
    DLMF defining formula
    b 𝑏 {\displaystyle{\displaystyle b}}
    xml-id
    C15.S1.XMD5.m1bdec
    0 references
    real or complex parameter
    DLMF defining formula
    c 𝑐 {\displaystyle{\displaystyle c}}
    xml-id
    C15.S1.XMD6.m1bdec
    0 references
    fundamental solutions
    DLMF defining formula
    f 1 ⁢ ( z ) subscript 𝑓 1 𝑧 {\displaystyle{\displaystyle f_{1}(z)}}
    xml-id
    C15.S10.XMD1.m1adec
    0 references
     
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