DLMF:15.8.E21 (Q5078): Difference between revisions

From DRMF

Jump to navigation Jump to search

Latest revision as of 14:05, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:15.8.E21	No description defined

Statements

Defining formula

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

0 references

DLMF:15.8.E21

0 references

{\displaystyle{\displaystyle|\operatorname{ph}z|<\pi}}

0 references

{\displaystyle{\displaystyle|\operatorname{ph}z|<\pi}}

0 references

{\displaystyle{\displaystyle|z|<1}}

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.m2ajdec

0 references

the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2akdec

0 references

Defining formula

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

C1.S9.E7.m1akdec

0 references

Defining formula

{\displaystyle{\displaystyle z}}

C15.S1.XMD3.m1tdec

0 references

Defining formula

{\displaystyle{\displaystyle a}}

C15.S1.XMD4.m1sdec

0 references

Defining formula

{\displaystyle{\displaystyle b}}

C15.S1.XMD5.m1qdec

0 references

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q5078&oldid=43317"