DLMF:26.10.E3 (Q7886): Difference between revisions

From DRMF

Jump to navigation Jump to search

← Older edit Newer edit →

Revision as of 13:59, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:26.10.E3	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle(1-x)\sum_{m,n=0}^{\infty}p_{m}\left(\leq k,% \mathcal{D},n\right)x^{m}q^{n}=\sum_{m=0}^{k}\genfrac{[}{]}{0.0pt}{}{k}{m}_{q}% q^{m(m+1)/2}x^{m}=\prod_{j=1}^{k}(1+x\,q^{j}),}}

0 references

DLMF:26.10.E3

0 references

{\displaystyle{\displaystyle|x|<1}}

0 references

$$q$$ -binomial coefficient (or Gaussian polynomial)

Defining formula

{\displaystyle{\displaystyle\genfrac{[}{]}{0.0pt}{}{\NVar{n}}{\NVar{m}}_{\NVar% {q}}}}

C17.S2.E27.m2adec

0 references

Defining formula

{\displaystyle{\displaystyle p_{\NVar{k}}\left(\leq\NVar{m},\NVar{n}\right)}}

C26.S9.SS1.m1adec

0 references

Defining formula

{\displaystyle{\displaystyle x}}

C26.S1.XMD1.m1dec

0 references

Defining formula

{\displaystyle{\displaystyle j}}

C26.S1.XMD3.m1bdec

0 references

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q7886&oldid=42300"