DLMF:17.3.E8 (Q5348): Difference between revisions

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Revision as of 14:54, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 14:54, 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
			Q11710
		Property / Symbols used: Q11710 / rank
			Normal rank
		Property / Symbols used: Q11710 / qualifier
			Defining formula: ${\displaystyle{\displaystyle q}}$ q
		Property / Symbols used: Q11710 / qualifier
			xml-id: C17.S1.XMD10.m1gdec
		Property / Symbols used
			Q11712
		Property / Symbols used: Q11712 / rank
			Normal rank
		Property / Symbols used: Q11712 / qualifier
			Defining formula: ${\displaystyle{\displaystyle j}}$ j
		Property / Symbols used: Q11712 / qualifier
			xml-id: C17.S1.XMD2.m1dec
		Property / Symbols used
			Q11716
		Property / Symbols used: Q11716 / rank
			Normal rank
		Property / Symbols used: Q11716 / qualifier
			Defining formula: ${\displaystyle{\displaystyle m}}$ m
		Property / Symbols used: Q11716 / qualifier
			xml-id: C17.S1.XMD3.m1dec
		Property / Symbols used
			Q11717
		Property / Symbols used: Q11717 / rank
			Normal rank
		Property / Symbols used: Q11717 / qualifier
			Defining formula: ${\displaystyle{\displaystyle s}}$ s
		Property / Symbols used: Q11717 / qualifier
			xml-id: C17.S1.XMD6.m1dec

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Latest revision as of 14:54, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:17.3.E8	No description defined

Statements

Defining formula

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

0 references

DLMF id

DLMF:17.3.E8

0 references

Symbols defined

$$q$$ -Euler number

0 references

Symbols used

Q10754

Defining formula

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

xml-id

C1.S2.SS1.m1abdec

0 references

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

Defining formula

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

xml-id

C17.S2.E27.m2adec

0 references

Q11710

Defining formula

${\displaystyle{\displaystyle q}}$

xml-id

C17.S1.XMD10.m1gdec

0 references

Q11712

Defining formula

${\displaystyle{\displaystyle j}}$

xml-id

C17.S1.XMD2.m1dec

0 references

Q11716

Defining formula

${\displaystyle{\displaystyle m}}$

xml-id

C17.S1.XMD3.m1dec

0 references

Q11717

Defining formula

${\displaystyle{\displaystyle s}}$

xml-id

C17.S1.XMD6.m1dec

0 references

 

Sitelinks

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