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TeX (original user input):

{\displaystyle
\int_0^{\infty}f(t)\,d_qt:=(1-q)\sum_{n=-\infty}^{\infty}f(q^n)q^n
}


TeX (checked):

{\displaystyle \int _{0}^{\infty }f(t)\,d_{q}t:=(1-q)\sum _{n=-\infty }^{\infty }f(q^{n})q^{n}}


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${\displaystyle {\displaystyle \int _{0}^{\infty }f(t)\,d_{q}t:=(1-q)\sum _{n=-\infty }^{\infty }f(q^{n})q^{n}}}$

In Maple:

In Mathematica:

## Similar pages

Calculated based on the variables occurring on the entire The q-derivative and q-integral page

## Identifiers

• ${\displaystyle{\displaystyle f}}$
• ${\displaystyle{\displaystyle t}}$
• ${\displaystyle{\displaystyle d_{q}}}$
• ${\displaystyle{\displaystyle t}}$
• ${\displaystyle{\displaystyle q}}$
• ${\displaystyle{\displaystyle n}}$
• ${\displaystyle{\displaystyle f}}$
• ${\displaystyle{\displaystyle q}}$
• ${\displaystyle{\displaystyle n}}$
• ${\displaystyle{\displaystyle q}}$
• ${\displaystyle{\displaystyle n}}$

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