DLMF:17.2.E12 (Q5302): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11710 / rank
 
Normal rank
Property / Symbols used: Q11710 / qualifier
 
test:

q 𝑞 {\displaystyle{\displaystyle q}}

q
Property / Symbols used: Q11710 / qualifier
 
xml-id: C17.S1.XMD10.m1kdec

Revision as of 13:46, 2 January 2020

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DLMF:17.2.E12
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    Statements

    ( a q - n ; q ) n ( b q - n ; q ) n = ( q / a ; q ) n ( q / b ; q ) n ( a b ) n . q-Pochhammer-symbol 𝑎 superscript 𝑞 𝑛 𝑞 𝑛 q-Pochhammer-symbol 𝑏 superscript 𝑞 𝑛 𝑞 𝑛 q-Pochhammer-symbol 𝑞 𝑎 𝑞 𝑛 q-Pochhammer-symbol 𝑞 𝑏 𝑞 𝑛 superscript 𝑎 𝑏 𝑛 {\displaystyle{\displaystyle\frac{\left(aq^{-n};q\right)_{n}}{\left(bq^{-n};q% \right)_{n}}=\frac{\left(q/a;q\right)_{n}}{\left(q/b;q\right)_{n}}\left(\frac{% a}{b}\right)^{n}.}}
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    ( a ; q ) n q-Pochhammer-symbol 𝑎 𝑞 𝑛 {\displaystyle{\displaystyle\left(\NVar{a};\NVar{q}\right)_{\NVar{n}}}}
    C17.S2.SS1.p1.m2akdec
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    q 𝑞 {\displaystyle{\displaystyle q}}
    C17.S1.XMD10.m1kdec
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