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arXiv · 1309.3934

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

P. Njionou Sadjang
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Abstract

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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BibTeXRIS

P. Njionou Sadjang. 2013-08-22. On the fundamental theorem of $(p,q)$-calculus and some $(p,q)$-Taylor formulas. https://arxiv.org/abs/1309.3934

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