Formula:6032

Digital Library of Mathematical Functions ID 17.2.E45

${\displaystyle{\displaystyle\int_{0}^{1}f(x){\mathrm{d}}_{q}x=(1-q)\sum_{j=0}^{\infty}f(q^{j})q^{j},}}$

Symbols List

• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle{\mathrm{d}}_{\NVar{q}}\NVar{x}}}$:
• ${\displaystyle{\displaystyle q}}$: complex base
• ${\displaystyle{\displaystyle j}}$: nonnegative integer
• ${\displaystyle{\displaystyle x}}$: real variable
 

Resources that cite this formula

No records found.