DLMF:15.8.E17 (Q5074)

From DRMF

Revision as of 14:04, 2 January 2020 by Admin (talk | contribs) (‎Changed an Item: Add constraint)

(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Jump to navigation Jump to search

No description defined

Language	Label	Description	Also known as
English	DLMF:15.8.E17	No description defined

Statements

Defining formula

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

0 references

DLMF:15.8.E17

0 references

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

0 references

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

Defining formula

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

C15.S2.E1.m2afdec

0 references

Defining formula

{\displaystyle{\displaystyle\Re}}

C1.S9.E2.m1aadec

0 references

Defining formula

{\displaystyle{\displaystyle z}}

C15.S1.XMD3.m1pdec

0 references

Defining formula

{\displaystyle{\displaystyle a}}

C15.S1.XMD4.m1odec

0 references

Defining formula

{\displaystyle{\displaystyle b}}

C15.S1.XMD5.m1odec

0 references

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q5074&oldid=43200"