DLMF:15.9.E21 (Q5111): Difference between revisions

From DRMF

Jump to navigation Jump to search

Latest revision as of 14:11, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:15.9.E21	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\mathbf{F}\left({a,1-a\atop c};z\right)=\left(% \frac{-z}{1-z}\right)^{\ifrac{(1-c)}{2}}\*P^{1-c}_{-a}\left(1-2z\right),}}

0 references

DLMF:15.9.E21

0 references

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

0 references

Defining formula

{\displaystyle{\displaystyle P^{\NVar{\mu}}_{\NVar{\nu}}\left(\NVar{z}\right)}}

C14.S21.SS1.p1.m1aedec

0 references

the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2afdec

0 references

Defining formula

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

C1.S9.E7.m1aedec

0 references

$$={{}_{2}{\mathbf{F}}_{1}}\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)$$ Olver’s hypergeometric function

Defining formula

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

C15.S2.E2.m2aedec

0 references

Defining formula

{\displaystyle{\displaystyle z}}

C15.S1.XMD3.m1fdec

0 references

Defining formula

{\displaystyle{\displaystyle a}}

C15.S1.XMD4.m1edec

0 references

Defining formula

{\displaystyle{\displaystyle c}}

C15.S1.XMD6.m1bdec

0 references

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q5111&oldid=44491"