DLMF:15.4.E32 (Q5016)

No description defined

Language	Label	Description	Also known as
English	DLMF:15.4.E32	No description defined

Statements

Defining formula

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \hyperF@{a}{\tfrac{1}{2}+a}{\tfrac{5}{6}+\tfrac{2}{3}a}{\tfrac{1}{9}}=\sqrt{\pi}\left(\frac{3}{4}\right)^{a}\frac{\EulerGamma@{\tfrac{5}{6}+\tfrac{2}{3}a}}{\EulerGamma@{\tfrac{1}{2}+\tfrac{1}{3}a}\EulerGamma@{\tfrac{5}{6}+\tfrac{1}{3}a}}.}

0 references

DLMF id

DLMF:15.4.E32

0 references

Symbols used

gamma function

Defining formula

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

xml-id

C5.S2.E1.m2ajdec

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$$={{}_{2}F_{1}}\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)$$ Gauss’ hypergeometric function

Defining formula

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.m2aaddec

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the ratio of the circumference of a circle to its diameter

Defining formula

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

xml-id

C3.S12.E1.m2addec

0 references

Q11645

Defining formula

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