DLMF:17.6.E8 (Q5375): Difference between revisions

From testwiki
Jump to navigation Jump to search
← Older editNewer edit →
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.m2addec

Revision as of 13:58, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:17.6.E8
No description defined

    Statements

    test
    ϕ 1 2 ⁡ ( a , b c ; q , z ) = ( a ⁢ b ⁢ z / c ; q ) ∞ ( z ; q ) ∞ ⁢ ϕ 1 2 ⁡ ( c / a , c / b c ; q , a ⁢ b ⁢ z / c ) , q-hypergeometric-rphis 2 1 𝑎 𝑏 𝑐 𝑞 𝑧 q-Pochhammer-symbol 𝑎 𝑏 𝑧 𝑐 𝑞 q-Pochhammer-symbol 𝑧 𝑞 q-hypergeometric-rphis 2 1 𝑐 𝑎 𝑐 𝑏 𝑐 𝑞 𝑎 𝑏 𝑧 𝑐 {\displaystyle{\displaystyle{{}_{2}\phi_{1}}\left({a,b\atop c};q,z\right)=% \frac{\left(\ifrac{abz}{c};q\right)_{\infty}}{\left(z;q\right)_{\infty}}{{}_{2% }\phi_{1}}\left({c/a,c/b\atop c};q,\ifrac{abz}{c}\right),}}
    0 references
    DLMF id
    DLMF:17.6.E8
    0 references
    constraint
    | z | < 1 , | a ⁢ b ⁢ z | < | c | formulae-sequence 𝑧 1 𝑎 𝑏 𝑧 𝑐 {\displaystyle{\displaystyle|z|<1,|abz|<|c|}}
    0 references
    Symbols used
    Q11298
    test
    ( a ; q ) n q-Pochhammer-symbol 𝑎 𝑞 𝑛 {\displaystyle{\displaystyle\left(\NVar{a};\NVar{q}\right)_{\NVar{n}}}}
    xml-id
    C17.S2.SS1.p1.m2addec
    0 references
     
      Retrieved from "https://lct.wmflabs.org/w/index.php?title=Item:Q5375&oldid=30997"