DLMF:15.8.E13 (Q5070): Difference between revisions

From DRMF

Jump to navigation Jump to search

Latest revision as of 14:04, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:15.8.E13	No description defined

Statements

Defining formula

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

0 references

DLMF:15.8.E13

0 references

{\displaystyle{\displaystyle|\operatorname{ph}\left(1-z\right)|<\pi}}

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.m2abdec

0 references

the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2aidec

0 references

Defining formula

{\displaystyle{\displaystyle\operatorname{ph}}}

C1.S9.E7.m1aidec

0 references

Defining formula

{\displaystyle{\displaystyle z}}

C15.S1.XMD3.m1ldec

0 references

Defining formula

{\displaystyle{\displaystyle a}}

C15.S1.XMD4.m1kdec

0 references

Defining formula

{\displaystyle{\displaystyle b}}

C15.S1.XMD5.m1kdec

0 references

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q5070&oldid=43087"