DLMF:15.8.E19 (Q5076)

No description defined

Language	Label	Description	Also known as
English	DLMF:15.8.E19	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle F\left({a,1-a\atop c};z\right)=(1-2z)^{1-a-c}(1-z% )^{c-1}F\left({\frac{1}{2}(a+c),\frac{1}{2}(a+c-1)\atop c};\frac{4z(z-1)}{(1-2% z)^{2}}\right),}}

0 references

DLMF id

DLMF:15.8.E19

0 references

constraint

{\displaystyle{\displaystyle\Re z<\frac{1}{2}}}

0 references

Symbols used

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

Defining formula

{\displaystyle{\displaystyle F\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)}}

xml-id

C15.S2.E1.m2ahdec

0 references

Q10811

Defining formula

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

xml-id

C1.S9.E2.m1acdec

0 references

Q11644

Defining formula

{\displaystyle{\displaystyle z}}

xml-id

C15.S1.XMD3.m1rdec

0 references

Q11645

Defining formula

{\displaystyle{\displaystyle a}}

xml-id

C15.S1.XMD4.m1qdec

0 references

Q11647

Defining formula

{\displaystyle{\displaystyle c}}

xml-id

C15.S1.XMD6.m1jdec

0 references

DLMF:15.8.E19 (Q5076)

Statements

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Navigation menu

DLMF:15.8.E19 (Q5076)

Statements

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Navigation menu

Search