DLMF:17.9.E2 (Q5428): Difference between revisions

From testwiki
Jump to navigation Jump to search
imported>Admin
 
imported>Admin
Property / Symbols used
 
Property / Symbols used: Q11298 / rank
 
Normal rank
Property / Symbols used: Q11298 / qualifier
 
test:

( 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.m2aadec

Revision as of 14:05, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:17.9.E2
No description defined

    Statements

    ϕ 1 2 ( q - n , b c ; q , z ) = ( c / b ; q ) n ( c ; q ) n b n ϕ 1 3 ( q - n , b , q / z b q 1 - n / c ; q , z / c ) , q-hypergeometric-rphis 2 1 superscript 𝑞 𝑛 𝑏 𝑐 𝑞 𝑧 q-Pochhammer-symbol 𝑐 𝑏 𝑞 𝑛 q-Pochhammer-symbol 𝑐 𝑞 𝑛 superscript 𝑏 𝑛 q-hypergeometric-rphis 3 1 superscript 𝑞 𝑛 𝑏 𝑞 𝑧 𝑏 superscript 𝑞 1 𝑛 𝑐 𝑞 𝑧 𝑐 {\displaystyle{\displaystyle{{}_{2}\phi_{1}}\left({q^{-n},b\atop c};q,z\right)% =\frac{\left(c/b;q\right)_{n}}{\left(c;q\right)_{n}}b^{n}{{}_{3}\phi_{1}}\left% ({q^{-n},b,q/z\atop bq^{1-n}/c};q,z/c\right),}}
    0 references
    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.m2aadec
    0 references