Formula:8600

Digital Library of Mathematical Functions ID 26.11.E4

${\displaystyle{\displaystyle\sum_{n=0}^{\infty}c_{m}\left(n\right)q^{n}=\frac{q^{m}}{(1-q)^{m}}.}}$

Symbols List

• ${\displaystyle{\displaystyle c_{\NVar{m}}\left(\NVar{n}\right)}}$: number of compositions of n into exactly m parts
• ${\displaystyle{\displaystyle m}}$: nonnegative integer
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle q}}$: parameter
 

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