DLMF:15.10.E16 (Q5132): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11644 / rank
 
Normal rank
Property / Symbols used: Q11644 / qualifier
 
test:

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

z
Property / Symbols used: Q11644 / qualifier
 
xml-id: C15.S1.XMD3.m1odec

Revision as of 14:15, 2 January 2020

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DLMF:15.10.E16
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    Statements

    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle w_{6}(z)=e^{b\pi\iunit}z^{-b}\hyperF@@{b}{b-c+1}{b-a+1}{\frac{1}{z}}=e^{(c-a)\pi\iunit}z^{a-c}(1-z)^{c-a-b}\*\hyperF@@{1-a}{c-a}{b-a+1}{\frac{1}{z}}=(1-z)^{-b}\hyperF@@{b}{c-a}{b-a+1}{\frac{1}{1-z}}=e^{(c-1)\pi\iunit}z^{1-c}(1-z)^{c-b-1}\*\hyperF@@{1-a}{b-c+1}{b-a+1}{\frac{1}{1-z}}.}
    0 references
    DLMF id
    DLMF:15.10.E16
    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.m2akdec
    0 references
    the ratio of the circumference of a circle to its diameter
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cpi}
    xml-id
    C3.S12.E1.m2aadec
    0 references
    base of natural logarithm
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \expe}
    xml-id
    C4.S2.E11.m2aadec
    0 references
    imaginary unit
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \iunit}
    xml-id
    C1.S9.E1.m2aadec
    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.m1odec
    0 references
     
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