DLMF:15.2.E2 (Q4978)

No description defined

Language	Label	Description	Also known as
English	DLMF:15.2.E2	No description defined

Statements

test

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \hyperOlverF@{a}{b}{c}{z}=\sum_{s=0}^{\infty}\frac{\Pochhammersym{a}{s}\Pochhammersym{b}{s}}{\EulerGamma@{c+s}s!}z^{s},}

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DLMF id

DLMF:15.2.E2

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Symbols defined

$$={{}_{2}{\mathbf{F}}_{1}}\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)$$ Olver’s hypergeometric function

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constraint

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |z|<1}

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Symbols used

gamma function

test

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

xml-id

C5.S2.E1.m2aadec

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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.m1aadec

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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.m5aadec

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scaled (or Olver’s) generalized hypergeometric function

test

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \genhyperOlverF{\NVar{p}}{\NVar{q}}@{\NVar{\mathbf{a}}}{\NVar{\mathbf{b}}}{% \NVar{z}}}

xml-id

C16.S2.E5.m2adec

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Q11648

test

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

xml-id

C15.S1.XMD11.m1adec

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Q11644

test

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