DLMF:27.7.E5 (Q8045): Difference between revisions

From testwiki
Jump to navigation Jump to search
imported>Admin
 
imported>Admin
Property / constraint
 

| x | < 1 𝑥 1 {\displaystyle{\displaystyle|x|<1}}

|x|<1
Property / constraint: | x | < 1 𝑥 1 {\displaystyle{\displaystyle|x|<1}} / rank
 
Normal rank

Revision as of 17:21, 30 December 2019

No description defined
Language Label Description Also known as
English
DLMF:27.7.E5
No description defined

    Statements

    n = 1 n α x n 1 - x n = n = 1 σ α ( n ) x n , superscript subscript 𝑛 1 superscript 𝑛 𝛼 superscript 𝑥 𝑛 1 superscript 𝑥 𝑛 superscript subscript 𝑛 1 divisor-sigma 𝛼 𝑛 superscript 𝑥 𝑛 {\displaystyle{\displaystyle\sum_{n=1}^{\infty}n^{\alpha}\frac{x^{n}}{1-x^{n}}% =\sum_{n=1}^{\infty}\sigma_{\alpha}\left(n\right)x^{n},}}
    0 references
    0 references
    | x | < 1 𝑥 1 {\displaystyle{\displaystyle|x|<1}}
    0 references