In mathematics, in the area of combinatorics and quantum calculus, the q-derivative, or Jackson derivative, is a q-analog of the ordinary derivative, introduced by Frank Hilton Jackson. It is the inverse of Jackson's q-integration.
q-derivative
In mathematics, in the area of combinatorics and quantum calculus, the q-derivative, or Jackson derivative, is a q-analog of the ordinary derivative, introduced by Frank Hilton Jackson. It is the inverse of Jackson's q-integration. Wikipedia
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In this paper, we present some of the interesting definitions of -calculus and -derivatives. By using -calculus, solutions of some differential equations could ...
The q-analog of the derivative, defined by (d/(dx))_qf(x)=(f(x)-f(qx))/(x-qx). (1) For example, (d/(dx))_qsinx = (sinx-sin(qx))/(x-qx) (2) (d/(dx))_qlnx ...
Quantum calculus, sometimes called calculus without limits, is equivalent to traditional infinitesimal calculus without the notion of limits.
Abstract. In a field of math called q-calculus, there is an operator called the q-derivative, which is analogous to the derivative from calculus.
Abstract. The following statement is proved. If the q-derivative operator D q is defined by [formula] for functions ƒ which are differentiable at x = 0, then we ...
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English edit. Noun edit · q-derivative (plural q-derivatives). (mathematics) Synonym of Jackson derivative · Last edited 8 months ago by Equinox ...
Duration: 22:23
Posted: Jul 21, 2023
Posted: Jul 21, 2023
Dec 17, 2019 · This paper basically, expands the boundaries of previous works by solving the Laplace's equation with the help of different methods in quantum ...