DLMF:17.5.E4 (Q5366): Difference between revisions

From DRMF
Jump to navigation Jump to search
← Older editNewer edit →
‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
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.m2acdec

Revision as of 14:56, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:17.5.E4
No description defined

    Statements

    Defining formula
    ϕ 0 1 ⁡ ( 0 ; - ; q , z ) = ∑ n = 0 ∞ z n ( q ; q ) n = 1 ( z ; q ) ∞ , q-hypergeometric-rphis 1 0 0 𝑞 𝑧 superscript subscript 𝑛 0 superscript 𝑧 𝑛 q-Pochhammer-symbol 𝑞 𝑞 𝑛 1 q-Pochhammer-symbol 𝑧 𝑞 {\displaystyle{\displaystyle{{}_{1}\phi_{0}}\left(0;-;q,z\right)=\sum_{n=0}^{% \infty}\frac{z^{n}}{\left(q;q\right)_{n}}=\frac{1}{\left(z;q\right)_{\infty}},}}
    0 references
    DLMF id
    DLMF:17.5.E4
    0 references
    constraint
    | z | < 1 𝑧 1 {\displaystyle{\displaystyle|z|<1}}
    0 references
    Symbols used
    Q11298
    Defining formula
    ( 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.m2acdec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q5366&oldid=52591"