DLMF:15.16.E3 (Q5180)

No description defined

Language	Label	Description	Also known as
English	DLMF:15.16.E3	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}{c}{z}\hyperF@@{a}{b}{c}{\zeta}=\sum_{s=0}^{\infty}\frac{\Pochhammersym{a}{s}\Pochhammersym{b}{s}\Pochhammersym{c-a}{s}\Pochhammersym{c-b}{s}}{\Pochhammersym{c}{s}\Pochhammersym{c}{2s}s!}\left(z\zeta\right)^{s}\hyperF@@{a+s}{b+s}{c+2s}{z+\zeta-z\zeta},}

0 references

DLMF id

DLMF:15.16.E3

0 references

constraint

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

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.m2abdec

0 references

Q10759

Defining formula

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

0 references

Q10755

Defining formula

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

xml-id

introduction.Sx4.p1.t1.r15.m5adec

0 references

Q11648

Defining formula

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