DLMF:1.10.E14 (Q369): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: inverse function of $$f(z)$$ (locally) / rank
 
Normal rank
Property / Symbols used: inverse function of $$f(z)$$ (locally) / qualifier
 
test:

F ( w ) 𝐹 𝑤 {\displaystyle{\displaystyle F(w)}}

F(w)
Property / Symbols used: inverse function of $$f(z)$$ (locally) / qualifier
 
xml-id: C1.S10.XMD13.m1adec
Property / Symbols used
 
Property / Symbols used: Q10840 / rank
 
Normal rank
Property / Symbols used: Q10840 / qualifier
 
test:

G n subscript 𝐺 𝑛 {\displaystyle{\displaystyle G_{n}}}

G_{n}
Property / Symbols used: Q10840 / qualifier
 
xml-id: C1.S10.XMD19.m1dec

Latest revision as of 15:12, 1 January 2020

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DLMF:1.10.E14
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    Statements

    g ( F ( w ) ) = g ( z 0 ) + n = 1 G n ( w - w 0 ) n , 𝑔 𝐹 𝑤 𝑔 subscript 𝑧 0 subscript superscript 𝑛 1 subscript 𝐺 𝑛 superscript 𝑤 subscript 𝑤 0 𝑛 {\displaystyle{\displaystyle g(F(w))=g(z_{0})+\sum^{\infty}_{n=1}G_{n}(w-w_{0}% )^{n},}}
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    Warning: Falling back to standard tex;
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    z 𝑧 {\displaystyle{\displaystyle z}}
    C1.S1.XMD1.m1ldec
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    w 𝑤 {\displaystyle{\displaystyle w}}
    C1.S1.XMD2.m1bdec
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    n 𝑛 {\displaystyle{\displaystyle n}}
    C1.S1.XMD7.m1ddec
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    F ( w ) 𝐹 𝑤 {\displaystyle{\displaystyle F(w)}}
    C1.S10.XMD13.m1adec
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    G n subscript 𝐺 𝑛 {\displaystyle{\displaystyle G_{n}}}
    C1.S10.XMD19.m1dec
    0 references