DLMF:15.8.E30 (Q5087)

No description defined

Language	Label	Description	Also known as
English	DLMF:15.8.E30	No description defined

Statements

Defining formula

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

0 references

DLMF id

DLMF:15.8.E30

0 references

Symbols used

$$={{}_{2}F_{1}}\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)$$ 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.m2asdec

0 references

Q11644

Defining formula

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

xml-id

C15.S1.XMD3.m1acdec

0 references

Q11645

Defining formula

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