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A \(q\)-analogue of the multiplicative calculus: \(q\)-multiplicative calculus. (English) Zbl 1332.05019

Summary: In this paper, we propose a \(q\)-analog of some basic concepts of multiplicative calculus and we called it as \(q\)-multiplicative calculus. We successfully introduce \(q\)-multiplicative calculus and some basic theorems about derivatives, integrals and infinite products are proved within this calculus.

MSC:

05A30 \(q\)-calculus and related topics

References:

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