DLMF:15.8.E1 (Q5058)

No description defined

Language	Label	Description	Also known as
English	DLMF:15.8.E1	No description defined

Statements

Defining formula

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \hyperOlverF@@{a}{b}{c}{z}=(1-z)^{-a}\hyperOlverF@@{a}{c-b}{c}{\frac{z}{z-1}}=(1-z)^{-b}\hyperOlverF@@{c-a}{b}{c}{\frac{z}{z-1}}=(1-z)^{c-a-b}\hyperOlverF@@{c-a}{c-b}{c}{z},}

0 references

DLMF id

DLMF:15.8.E1

0 references

constraint

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

0 references

Symbols used

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.m2adec

0 references

Q10817

Defining formula

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

xml-id

C1.S9.E7.m1adec

0 references

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

Defining formula

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

xml-id

C15.S2.E2.m2adec

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.m1dec

0 references