DLMF:17.2.E8 (Q5298): 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.m2agdec
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.m1gdec
Property / Symbols used
 
Property / Symbols used: Q11711 / rank
 
Normal rank
Property / Symbols used: Q11711 / qualifier
 
Defining formula:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q11711 / qualifier
 
xml-id: C17.S1.XMD4.m1ddec

Latest revision as of 14:46, 2 January 2020

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DLMF:17.2.E8
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    Statements

    ( a ; q - 1 ) n ( b ; q - 1 ) n = ( a - 1 ; q ) n ( b - 1 ; q ) n ( a b ) n , q-Pochhammer-symbol 𝑎 superscript 𝑞 1 𝑛 q-Pochhammer-symbol 𝑏 superscript 𝑞 1 𝑛 q-Pochhammer-symbol superscript 𝑎 1 𝑞 𝑛 q-Pochhammer-symbol superscript 𝑏 1 𝑞 𝑛 superscript 𝑎 𝑏 𝑛 {\displaystyle{\displaystyle\frac{\left(a;q^{-1}\right)_{n}}{\left(b;q^{-1}% \right)_{n}}=\frac{\left(a^{-1};q\right)_{n}}{\left(b^{-1};q\right)_{n}}\left(% \frac{a}{b}\right)^{n},}}
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    DLMF:17.2.E8
    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.m2agdec
    0 references
    q 𝑞 {\displaystyle{\displaystyle q}}
    C17.S1.XMD10.m1gdec
    0 references
    n 𝑛 {\displaystyle{\displaystyle n}}
    C17.S1.XMD4.m1ddec
    0 references