DLMF:17.12.E4 (Q5461)

From DRMF
Revision as of 15:10, 2 January 2020 by Admin (talk | contribs) (‎Changed an Item: Add constraint)
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:17.12.E4
No description defined

    Statements

    Defining formula
    ∑ n = 0 ∞ q n 2 ⁢ a n ⁢ β n = 1 ( a ⁢ q ; q ) ∞ ⁢ ∑ n = 0 ∞ q n 2 ⁢ a n ⁢ α n . superscript subscript 𝑛 0 superscript 𝑞 superscript 𝑛 2 superscript 𝑎 𝑛 subscript 𝛽 𝑛 1 q-Pochhammer-symbol 𝑎 𝑞 𝑞 superscript subscript 𝑛 0 superscript 𝑞 superscript 𝑛 2 superscript 𝑎 𝑛 subscript 𝛼 𝑛 {\displaystyle{\displaystyle\sum_{n=0}^{\infty}q^{n^{2}}a^{n}\beta_{n}=\frac{1% }{\left(aq;q\right)_{\infty}}\sum_{n=0}^{\infty}q^{n^{2}}a^{n}\alpha_{n}.}}
    0 references
    DLMF id
    DLMF:17.12.E4
    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.m2aadec
    0 references
    Q11710
    Defining formula
    q 𝑞 {\displaystyle{\displaystyle q}}
    xml-id
    C17.S1.XMD10.m1adec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q5461&oldid=55026"