Formula:8735

Digital Library of Mathematical Functions ID 27.7.E2

${\displaystyle{\displaystyle\sum_{n=1}^{\infty}f(n)\frac{x^{n}}{1-x^{n}}=\sum_{n=1}^{\infty}\sum_{d\mathbin{|}n}f(d)x^{n}.}}$

Constraint(s)

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

Symbols List

• ${\displaystyle{\displaystyle d}}$: positive integer
• ${\displaystyle{\displaystyle n}}$: positive integer
• ${\displaystyle{\displaystyle x}}$: real number
 

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