DLMF:3.7.E2 (Q1325): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
 
Property / Symbols used
 
Property / Symbols used: Q11190 / rank
 
Normal rank
Property / Symbols used: Q11190 / qualifier
 
Defining formula:

f s ⁢ ( z ) subscript 𝑓 𝑠 𝑧 {\displaystyle{\displaystyle f_{s}(z)}}

f_{s}(z)
Property / Symbols used: Q11190 / qualifier
 
xml-id: C3.S7.XMD9.m1dec

Latest revision as of 17:56, 1 January 2020

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DLMF:3.7.E2
No description defined

    Statements

    Defining formula
    w ( s ) ⁢ ( z ) = f s ⁢ ( z ) ⁢ w ⁢ ( z ) + g s ⁢ ( z ) ⁢ w ′ ⁢ ( z ) + h s ⁢ ( z ) , superscript 𝑤 𝑠 𝑧 subscript 𝑓 𝑠 𝑧 𝑤 𝑧 subscript 𝑔 𝑠 𝑧 superscript 𝑤 ′ 𝑧 subscript ℎ 𝑠 𝑧 {\displaystyle{\displaystyle w^{(s)}(z)=f_{s}(z)w(z)+g_{s}(z)w^{\prime}(z)+h_{% s}(z),}}
    0 references
    DLMF id
    DLMF:3.7.E2
    0 references
    comment
    Warning: Falling back to standard tex;
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    constraint
    s = 0 , 1 , 2 , … 𝑠 0 1 2 … {\displaystyle{\displaystyle s=0,1,2,\dots}}
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    Symbols used
    Q11188
    Defining formula
    w ⁢ ( z ) 𝑤 𝑧 {\displaystyle{\displaystyle w(z)}}
    xml-id
    C3.S7.XMD1.m1adec
    0 references
    Q11189
    Defining formula
    g s ⁢ ( z ) subscript 𝑔 𝑠 𝑧 {\displaystyle{\displaystyle g_{s}(z)}}
    xml-id
    C3.S7.XMD10.m1dec
    0 references
    function (locally)
    Defining formula
    h ⁢ ( z ) ℎ 𝑧 {\displaystyle{\displaystyle h(z)}}
    xml-id
    C3.S7.XMD4.m1adec
    0 references
    Q11190
    Defining formula
    f s ⁢ ( z ) subscript 𝑓 𝑠 𝑧 {\displaystyle{\displaystyle f_{s}(z)}}
    xml-id
    C3.S7.XMD9.m1dec
    0 references
     
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