Formula:8758

Digital Library of Mathematical Functions ID 27.10.E8

${\displaystyle{\displaystyle a_{k}(m)=\sum_{d\mathbin{|}\left(m,k\right)}g(d)f\left(\frac{k}{d}\right)\frac{d}{k}.}}$

Symbols List

• ${\displaystyle{\displaystyle\left(\NVar{m},\NVar{n}\right)}}$:
• ${\displaystyle{\displaystyle d}}$: positive integer
• ${\displaystyle{\displaystyle k}}$: positive integer
• ${\displaystyle{\displaystyle m}}$: positive integer
• ${\displaystyle{\displaystyle f(n)}}$: function
• ${\displaystyle{\displaystyle g(m)}}$: periodic function
• ${\displaystyle{\displaystyle a_{k}(m)}}$: coefficients
 

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