On the fundamental theorem of $(p,q)$-calculus and some $(p,q)$-Taylor formulas

P. Njionou Sadjang

arxiv: 1309.3934 · v1 · pith:754ZXBDZnew · submitted 2013-08-22 · 🧮 math.QA

On the fundamental theorem of (p,q)-calculus and some (p,q)-Taylor formulas

P. Njionou Sadjang This is my paper

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keywords basescalculusderivativeformulasfundamentalgivenintegrationpolynomials

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In this paper, the $(p,q)$-derivative and the $(p,q)$-integration are investigated. Two suitable polynomials bases for the $(p,q)$-derivative are provided and various properties of these bases are given. As application, two $(p,q)$-Taylor formulas for polynomials are given, the fundamental theorem of $(p,q)$-calculus is included and the formula of $(p,q)$-integration by part is proved.

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