DLMF:15.5.E21 (Q5038): Difference between revisions

From DRMF

Jump to navigation Jump to search

← Older edit Newer edit →

Revision as of 13:56, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:15.5.E21	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle c(1-z)\left(\ifrac{\mathrm{d}F\left(a,b;c;z\right% )}{\mathrm{d}z}\right)=(c-a)(c-b)F\left(a,b;c+1;z\right)+c(a+b-c)F\left(a,b;c;% z\right).}}

0 references

DLMF:15.5.E21

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.m2asdec

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.m2akdec

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.m1sdec

0 references

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q5038&oldid=41638"