DLMF:17.3.E9 (Q5349): Difference between revisions

From DRMF

Jump to navigation Jump to search

Latest revision as of 14:54, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:17.3.E9	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle a_{m,s}\left(q\right)=\frac{q^{-\genfrac{(}{)}{0.% 0pt}{}{s}{2}}(1-q)^{s}}{\left(q;q\right)_{s}}\sum_{j=0}^{s}(-1)^{j}q^{\genfrac% {(}{)}{0.0pt}{}{j}{2}}\genfrac{[}{]}{0.0pt}{}{s}{j}_{q}\frac{(1-q^{s-j})^{m}}{% (1-q)^{m}}.}}

0 references

DLMF:17.3.E9

0 references

Symbols defined

$$q$$ -Stirling number

0 references

Defining formula

{\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}}

C1.S2.SS1.m1acdec

0 references

Defining formula

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

C17.S2.SS1.p1.m2afdec

0 references

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

Defining formula

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

C17.S2.E27.m2aadec

0 references

Defining formula

{\displaystyle{\displaystyle q}}

C17.S1.XMD10.m1hdec

0 references

Defining formula

{\displaystyle{\displaystyle j}}

C17.S1.XMD2.m1adec

0 references

Defining formula

{\displaystyle{\displaystyle m}}

C17.S1.XMD3.m1adec

0 references

Defining formula

{\displaystyle{\displaystyle s}}

C17.S1.XMD6.m1adec

0 references

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q5349&oldid=52130"