DLMF:17.2.E50 (Q5340)

From DRMF
Revision as of 14:52, 2 January 2020 by Admin (talk | contribs) (‎Changed an Item: Add constraint)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:17.2.E50
No description defined

    Statements

    Defining formula
    1 + ∑ n = 1 ∞ q n 2 + n ( 1 - q ) ⁢ ( 1 - q 2 ) ⁢ ⋯ ⁢ ( 1 - q n ) = ∏ n = 0 ∞ 1 ( 1 - q 5 ⁢ n + 2 ) ⁢ ( 1 - q 5 ⁢ n + 3 ) . 1 superscript subscript 𝑛 1 superscript 𝑞 superscript 𝑛 2 𝑛 1 𝑞 1 superscript 𝑞 2 ⋯ 1 superscript 𝑞 𝑛 superscript subscript product 𝑛 0 1 1 superscript 𝑞 5 𝑛 2 1 superscript 𝑞 5 𝑛 3 {\displaystyle{\displaystyle 1+\sum_{n=1}^{\infty}\frac{q^{n^{2}+n}}{(1-q)(1-q% ^{2})\cdots(1-q^{n})}=\prod_{n=0}^{\infty}\frac{1}{(1-q^{5n+2})(1-q^{5n+3})}.}}
    0 references
    DLMF id
    DLMF:17.2.E50
    0 references
    comment
    Warning: Falling back to standard tex;
    0 references
    Symbols used
    Q11710
    Defining formula
    q 𝑞 {\displaystyle{\displaystyle q}}
    xml-id
    C17.S1.XMD10.m1avdec
    0 references
    Q11711
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C17.S1.XMD4.m1aodec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q5340&oldid=51826"