DLMF:18.27.E3 (Q5954): Difference between revisions

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Revision as of 17:34, 29 December 2019 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Created a new Item: Wikidata Toolkit example test item creation		Latest revision as of 01:47, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint
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		Property / Symbols defined
			$$q$$ -Hahn polynomial
		Property / Symbols defined: $$q$$ -Hahn polynomial / rank
			Normal rank
		Property / constraint
			${\displaystyle{\displaystyle n=0,1,\dots,N}}$ n=0,1,\dots,N
		Property / constraint: ${\displaystyle{\displaystyle n=0,1,\dots,N}}$ / rank
			Normal rank
		Property / Symbols used
			basic hypergeometric (or $$q$$ -hypergeometric) function
		Property / Symbols used: basic hypergeometric (or $$q$$ -hypergeometric) function / rank
			Normal rank
		Property / Symbols used: basic hypergeometric (or $$q$$ -hypergeometric) function / qualifier
			Defining formula: ${\displaystyle{\displaystyle{{}_{\NVar{r+1}}\phi_{\NVar{s}}}\left(\NVar{a_{0},\dots,a_{r}};\NVar{b_{1},\dots,b_{s}};\NVar{q},\NVar{z}\right)}}$ \qgenhyperphi{\NVar{r+1}}{\NVar{s}}@{\NVar{a_{0},\dots,a_{r}}}{\NVar{b_{1},\dots,b_{s}}}{\NVar{q}}{\NVar{z}}
		Property / Symbols used: basic hypergeometric (or $$q$$ -hypergeometric) function / qualifier
			xml-id: C17.S4.E1.m2adec
		Property / Symbols used
			Q11728
		Property / Symbols used: Q11728 / rank
			Normal rank
		Property / Symbols used: Q11728 / qualifier
			Defining formula: ${\displaystyle{\displaystyle q}}$ q
		Property / Symbols used: Q11728 / qualifier
			xml-id: C18.S1.XMD3.m1adec
		Property / Symbols used
			Q11726
		Property / Symbols used: Q11726 / rank
			Normal rank
		Property / Symbols used: Q11726 / qualifier
			Defining formula: ${\displaystyle{\displaystyle n}}$ n
		Property / Symbols used: Q11726 / qualifier
			xml-id: C18.S1.XMD6.m1bdec
		Property / Symbols used
			Q11736
		Property / Symbols used: Q11736 / rank
			Normal rank
		Property / Symbols used: Q11736 / qualifier
			Defining formula: ${\displaystyle{\displaystyle N}}$ N
		Property / Symbols used: Q11736 / qualifier
			xml-id: C18.S1.XMD7.m1dec
		Property / Symbols used
			Q11727
		Property / Symbols used: Q11727 / rank
			Normal rank
		Property / Symbols used: Q11727 / qualifier
			Defining formula: ${\displaystyle{\displaystyle x}}$ x
		Property / Symbols used: Q11727 / qualifier
			xml-id: C18.S2.XMD3.m1bdec

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Latest revision as of 01:47, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:18.27.E3	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle Q_{n}(x)=Q_{n}\left(x;\alpha,\beta,N;q\right)={{}_{3}\phi_{2}}\left({q^{-n},\alpha\beta q^{n+1},x\atop\alpha q,q^{-N}};q,q\right),}}$

0 references

DLMF id

DLMF:18.27.E3

0 references

Symbols defined

$$q$$ -Hahn polynomial

0 references

constraint

${\displaystyle{\displaystyle n=0,1,\dots,N}}$

0 references

Symbols used

basic hypergeometric (or $$q$$ -hypergeometric) function

Defining formula

${\displaystyle{\displaystyle{{}_{\NVar{r+1}}\phi_{\NVar{s}}}\left(\NVar{a_{0},\dots,a_{r}};\NVar{b_{1},\dots,b_{s}};\NVar{q},\NVar{z}\right)}}$

xml-id

C17.S4.E1.m2adec

0 references

Q11728

Defining formula

${\displaystyle{\displaystyle q}}$

xml-id

C18.S1.XMD3.m1adec

0 references

Q11726

Defining formula

${\displaystyle{\displaystyle n}}$

xml-id

C18.S1.XMD6.m1bdec

0 references

Q11736

Defining formula

${\displaystyle{\displaystyle N}}$

xml-id

C18.S1.XMD7.m1dec

0 references

Q11727

Defining formula

${\displaystyle{\displaystyle x}}$

xml-id

C18.S2.XMD3.m1bdec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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