Quantum calculus encompasses $q$-calculus and $h$-calculus, and is a notion of "calculus without limits". Do not confuse with the (quantum-mechanics) tag. For questions on Schrodinger's equation and solutions, use (quantum-mechanices), (pde), (fourier-analysis), and/or (calculus) as appropriate.

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double integrals on quantum calculus

I need references or book recommendations to find properties of double integrals on quantum calculus. Especially i need analogue of Fubini's theorem on q-calculus.
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improper integrals in q-calculus

In quantum calculus is this equality possible for improper integrals? $\lim_{x\to\infty}\int_0^xf(t)d_qt=\int_0^\infty f(x)d_qx$
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q-analog of vector space dimension

I am reading about "quantum dimension" $\dim_q V$ where $V$ is a vector space. In fact, you could write it $[\dim V]_q$ where $\dim V$ is the dimension of the vector space and $[n]_q = ...
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quantum derivative of cos(x)

How would I determine the quantum derivative, $D_q (sin_q x)$? Can $D_q (cos_q x)$ be found in a similar way? How is $D_q (sin_q x)$ different from $D_h (sin_h x)$
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Ejemplos de la integral de Jackson (Examples of Jackson's Integral)

Original question in Spanish La integral de Jackson está definida en el cálculo cuántico, y quisiera que alguien me ayudara a la explicación de un ejemplo de este estilo de integrales. Gracias ...
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Is there a gamma-like function for the q-factorial?

I'm looking at quantum calculus and just trying to understand what is going with this subject. Looking at the q-factorial made me wonder if this function could take all real or even complex numbers in ...