DLMF:18.27.E18 (Q5969)

From DRMF

Revision as of 01:50, 2 January 2020 by Admin (talk | contribs) (‎Changed an Item: Add constraint)

(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Jump to navigation Jump to search

No description defined

Language	Label	Description	Also known as
English	DLMF:18.27.E18	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle S_{n}\left(x;q\right)=\sum_{\ell=0}^{n}\frac{q^{% \ell^{2}}(-x)^{\ell}}{\left(q;q\right)_{\ell}\left(q;q\right)_{n-\ell}}=\frac{% 1}{\left(q;q\right)_{n}}{{}_{1}\phi_{1}}\left({q^{-n}\atop 0};q,-q^{n+1}x% \right).}}

0 references

DLMF:18.27.E18

0 references

Symbols defined

Stieltjes–Wigert polynomial

0 references

Defining formula

{\displaystyle{\displaystyle\left(\NVar{a};\NVar{q}\right)_{\NVar{n}}}}

C17.S2.SS1.p1.m2addec

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.m2addec

0 references

Defining formula

{\displaystyle{\displaystyle q}}

C18.S1.XMD3.m1pdec

0 references

Defining formula

{\displaystyle{\displaystyle\ell}}

C18.S1.XMD4.m1bdec

0 references

Defining formula

{\displaystyle{\displaystyle n}}

C18.S1.XMD6.m1mdec

0 references

Defining formula

{\displaystyle{\displaystyle x}}

C18.S2.XMD3.m1ldec

0 references

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q5969&oldid=35098"