DLMF:17.6.E16 (Q5383): Difference between revisions

From DRMF

Jump to navigation Jump to search

Latest revision as of 14:59, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:17.6.E16	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle{{}_{2}\phi_{1}}\left({a,b\atop c};q,z\right)=% \frac{\left(b,c/a,az,q/(az);q\right)_{\infty}}{\left(c,b/a,z,q/z;q\right)_{% \infty}}{{}_{2}\phi_{1}}\left({a,aq/c\atop aq/b};q,cq/(abz)\right)+\frac{\left% (a,c/b,bz,q/(bz);q\right)_{\infty}}{\left(c,a/b,z,q/z;q\right)_{\infty}}{{}_{2% }\phi_{1}}\left({b,bq/c\atop bq/a};q,cq/(abz)\right),}}

0 references

DLMF:17.6.E16

0 references

{\displaystyle{\displaystyle|abz|<|cq|}}

0 references

basic hypergeometric (or $$q$$ -hypergeometric) function

Defining formula

{\displaystyle{\displaystyle{{}_{\NVar{r+1}}\phi_{\NVar{s}}}\left(\NVar{a_{0},% \dots,a_{r}};\NVar{b_{1},\dots,b_{s}};\NVar{q},\NVar{z}\right)}}

C17.S4.E1.m2aodec

0 references

Defining formula

{\displaystyle{\displaystyle\left(\NVar{a_{1},a_{2},\dots,a_{r}};\NVar{q}% \right)_{\NVar{n}}}}

C17.S2.SS1.p1.m6aldec

0 references

Defining formula

{\displaystyle{\displaystyle q}}

C17.S1.XMD10.m1odec

0 references

Defining formula

{\displaystyle{\displaystyle z}}

C17.S1.XMD7.m1idec

0 references

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q5383&oldid=53061"