q-Calculus

-calculus or quantum calculus is a methodology comparable to the usual study of calculus but which is centered on the idea of deriving q-analogous results without the use of limits. The main tool is the q-derivative.

See also

q-Analog, q-Derivative

This entry contributed by Christopher Stover

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References

Ernst, T. A Comprehensive Treatment of q-Calculus. Basel: Birkhäuser, 2012.Knill, O. "Spectral, Ergodic and Cohomological Problems in Dynamical Systems." https://wwn.ikan3.com/6wa482r89_4zmfiqkkizeizxpxl/6wa~ylfpp/5prmllij/KnillDissertation.pdf.Yesilkaya, Z. and Öntürk, N. "Q-Calculus." 2013. https://wwn.ikan3.com/9cm236b38b37_5govzjzytiyfywpdsg/5prrglbw/4xj5746/3swmty/2azivcze-uvapzc/Rapor.pdf.

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Stover, Christopher. "q-Calculus." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://wwn.ikan3.com/7hz2929k26_9nqeuhigsnjcgsjpnuemse/q-Calculus.html

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