DLMF:17.2.E3 (Q5293): Difference between revisions

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Created a new Item: Wikidata Toolkit example test item creation
 
Changed an Item: Add constraint
 
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Property / Symbols used
 
Property / Symbols used: Q11298 / rank
 
Normal rank
Property / Symbols used: Q11298 / qualifier
 
Defining formula:

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

\qPochhammer{\NVar{a}}{\NVar{q}}{\NVar{n}}
Property / Symbols used: Q11298 / qualifier
 
xml-id: C17.S2.SS1.p1.m2abdec
Property / Symbols used
 
Property / Symbols used: Q11710 / rank
 
Normal rank
Property / Symbols used: Q11710 / qualifier
 
Defining formula:

q 𝑞 {\displaystyle{\displaystyle q}}

q
Property / Symbols used: Q11710 / qualifier
 
xml-id: C17.S1.XMD10.m1bdec
Property / Symbols used
 
Property / Symbols used: Q11712 / rank
 
Normal rank
Property / Symbols used: Q11712 / qualifier
 
Defining formula:

j 𝑗 {\displaystyle{\displaystyle j}}

j
Property / Symbols used: Q11712 / qualifier
 
xml-id: C17.S1.XMD2.m1dec

Latest revision as of 14:45, 2 January 2020

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DLMF:17.2.E3
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    Statements

    ( a ; q ) ν = j = 0 ( 1 - a q j 1 - a q ν + j ) , q-Pochhammer-symbol 𝑎 𝑞 𝜈 superscript subscript product 𝑗 0 1 𝑎 superscript 𝑞 𝑗 1 𝑎 superscript 𝑞 𝜈 𝑗 {\displaystyle{\displaystyle\left(a;q\right)_{\nu}=\prod_{j=0}^{\infty}\left(% \frac{1-aq^{j}}{1-aq^{\nu+j}}\right),}}
    0 references
    DLMF:17.2.E3
    0 references
    ( a ; q ) n q-Pochhammer-symbol 𝑎 𝑞 𝑛 {\displaystyle{\displaystyle\left(\NVar{a};\NVar{q}\right)_{\NVar{n}}}}
    C17.S2.SS1.p1.m2abdec
    0 references
    q 𝑞 {\displaystyle{\displaystyle q}}
    C17.S1.XMD10.m1bdec
    0 references
    j 𝑗 {\displaystyle{\displaystyle j}}
    C17.S1.XMD2.m1dec
    0 references