Formula:8580

Digital Library of Mathematical Functions ID 26.10.E4

${\displaystyle{\displaystyle\sum_{n=0}^{\infty}p\left(\mathcal{D}k,n\right)q^{n}={1+\sum_{m=1}^{\infty}\frac{q^{(km^{2}+(2-k)m)/2}}{(1-q)(1-q^{2})\cdots(1-q^{m})}},}}$

Symbols List

• ${\displaystyle{\displaystyle p\left(\NVar{\mathrm{condition}},\NVar{n}\right)}}$:
• ${\displaystyle{\displaystyle k}}$: nonnegative integer
• ${\displaystyle{\displaystyle m}}$: nonnegative integer
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle q}}$: parameter
 

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