DLMF:15.5.E7 (Q5024): Difference between revisions

From DRMF

Jump to navigation Jump to search

Latest revision as of 13:53, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:15.5.E7	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\left((1-z)\frac{\mathrm{d}}{\mathrm{d}z}(1-z)% \right)^{n}\left((1-z)^{a-1}F\left(a,b;c;z\right)\right)=(-1)^{n}\frac{{\left(% a\right)_{n}}{\left(c-b\right)_{n}}}{{\left(c\right)_{n}}}(1-z)^{a+n-1}\*F% \left(a+n,b;c+n;z\right).}}

0 references

DLMF:15.5.E7

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{\left(\NVar{a}\right)_{\NVar{n}}}}}

C5.S2.SS3.m1aedec

0 references

derivative of $$f$$ with respect to $$x$$

Defining formula

{\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}

C1.S4.E4.m2afdec

0 references

Defining formula

{\displaystyle{\displaystyle n}}

C15.S1.XMD10.m1edec

0 references

Defining formula

{\displaystyle{\displaystyle z}}

C15.S1.XMD3.m1fdec

0 references

Defining formula

{\displaystyle{\displaystyle a}}

C15.S1.XMD4.m1fdec

0 references

Defining formula

{\displaystyle{\displaystyle b}}

C15.S1.XMD5.m1fdec

0 references

Defining formula

{\displaystyle{\displaystyle c}}

C15.S1.XMD6.m1fdec

0 references

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q5024&oldid=41194"