DLMF:15.10.E8 (Q5124): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11645 / rank
 
Normal rank
Property / Symbols used: Q11645 / qualifier
 
test:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a}

a
Property / Symbols used: Q11645 / qualifier
 
xml-id: C15.S1.XMD4.m1gdec

Revision as of 13:13, 2 January 2020

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DLMF:15.10.E8
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    Statements

    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \hyperF@@{a}{b}{n}{z}\ln@@{z}-\sum_{k=1}^{n-1}\frac{(n-1)!(k-1)!}{(n-k-1)!\Pochhammersym{1-a}{k}\Pochhammersym{1-b}{k}}(-z)^{-k}\\ +\sum_{k=0}^{\infty}\frac{\Pochhammersym{a}{k}\Pochhammersym{b}{k}}{\Pochhammersym{n}{k}k!}z^{k}\left(\digamma@{a+k}+\digamma@{b+k}-\digamma@{1+k}-\digamma@{n+k}\right),}
    0 references
    DLMF id
    DLMF:15.10.E8
    0 references
    constraint
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a,b\neq n-1,n-2,\dots,0,-1,-2,\dots}
    0 references
    Symbols used
    $$={{}_{2}F_{1}}\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)$$ Gauss’ hypergeometric function
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \hyperF@{\NVar{a}}{\NVar{b}}{\NVar{c}}{\NVar{z}}}
    xml-id
    C15.S2.E1.m2acdec
    0 references
    Q10759
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Pochhammersym{\NVar{a}}{\NVar{n}}}
    xml-id
    C5.S2.SS3.m1adec
    0 references
    psi (or digamma) function
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \digamma@{\NVar{z}}}
    xml-id
    C5.S2.E2.m2adec
    0 references
    Q10755
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle !}
    xml-id
    introduction.Sx4.p1.t1.r15.m5adec
    0 references
    principal branch of logarithm function
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \ln@@{\NVar{z}}}
    xml-id
    C4.S2.E2.m2adec
    0 references
    Q11650
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle n}
    xml-id
    C15.S1.XMD10.m1dec
    0 references
    Q11644
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}
    xml-id
    C15.S1.XMD3.m1gdec
    0 references
    Q11645
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a}
    xml-id
    C15.S1.XMD4.m1gdec
    0 references
     
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