DLMF:26.12.E23 (Q7940): Difference between revisions

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Revision as of 14:06, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 14:06, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint
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		Property / Symbols used
			Q12176
		Property / Symbols used: Q12176 / rank
			Normal rank
		Property / Symbols used: Q12176 / qualifier
			Defining formula: ${\displaystyle{\displaystyle j}}$ j
		Property / Symbols used: Q12176 / qualifier
			xml-id: C26.S1.XMD3.m1bdec
		Property / Symbols used
			Q12210
		Property / Symbols used: Q12210 / rank
			Normal rank
		Property / Symbols used: Q12210 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\pi}}$ \pi
		Property / Symbols used: Q12210 / qualifier
			xml-id: C26.S12.XMD1.m1cdec
		Property / Symbols used
			Q12201
		Property / Symbols used: Q12201 / rank
			Normal rank
		Property / Symbols used: Q12201 / qualifier
			Defining formula: ${\displaystyle{\displaystyle r}}$ r
		Property / Symbols used: Q12201 / qualifier
			xml-id: C26.S12.XMD2.m1rdec
		Property / Symbols used
			Q12207
		Property / Symbols used: Q12207 / rank
			Normal rank
		Property / Symbols used: Q12207 / qualifier
			Defining formula: ${\displaystyle{\displaystyle B(r,s,t)}}$ B(r,s,t)
		Property / Symbols used: Q12207 / qualifier
			xml-id: C26.S12.XMD8.m1ddec
		Property / Symbols used
			Q12189
		Property / Symbols used: Q12189 / rank
			Normal rank
		Property / Symbols used: Q12189 / qualifier
			Defining formula: ${\displaystyle{\displaystyle q}}$ q
		Property / Symbols used: Q12189 / qualifier
			xml-id: C26.S9.XMD1.m1cdec

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Latest revision as of 14:06, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:26.12.E23	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\sum_{\begin{subarray}{c}\pi\subseteq B(r,r,r)\\ \pi\mbox{\scriptsize\ cyclically symmetric}\end{subarray}}q^{\left|\pi\right|}=\prod_{h=1}^{r}\frac{1-q^{3h-1}}{1-q^{3h-2}}\prod_{1\leq h<j\leq r}\frac{1-q^{3(h+2j-1)}}{1-q^{3(h+j-1)}}=\prod_{h=1}^{r}\left(\frac{1-q^{3h-1}}{1-q^{3h-2}}\prod_{j=h}^{r}\frac{1-q^{3(r+h+j-1)}}{1-q^{3(2h+j-1)}}\right).}}$

0 references

DLMF id

DLMF:26.12.E23

0 references

Symbols used

Q12209

Defining formula

${\displaystyle{\displaystyle\subseteq}}$

xml-id

introduction.Sx4.p2.t1.r3.m2acdec

0 references

Q12186

Defining formula

${\displaystyle{\displaystyle h}}$

xml-id

C26.S1.XMD2.m1bdec

0 references

Q12176

Defining formula

${\displaystyle{\displaystyle j}}$

xml-id

C26.S1.XMD3.m1bdec

0 references

Q12210

Defining formula

${\displaystyle{\displaystyle\pi}}$

xml-id

C26.S12.XMD1.m1cdec

0 references

Q12201

Defining formula

${\displaystyle{\displaystyle r}}$

xml-id

C26.S12.XMD2.m1rdec

0 references

Q12207

Defining formula

${\displaystyle{\displaystyle B(r,s,t)}}$

xml-id

C26.S12.XMD8.m1ddec

0 references

Q12189

Defining formula

${\displaystyle{\displaystyle q}}$

xml-id

C26.S9.XMD1.m1cdec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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