DLMF:15.4.E29 (Q5013)

No description defined

Language	Label	Description	Also known as
English	DLMF:15.4.E29	No description defined

Statements

Defining formula

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

0 references

DLMF id

DLMF:15.4.E29

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.m2agdec

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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.m2aaadec

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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.m2abdec

0 references

Q11645

Defining formula

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