Piotr Multarzynski. An algebraic analysis framework for quantum calculus


Natural Sciences / Mathematics / Algebra

Submitted on: Aug 30, 2012, 08:53:05

Description: An algebraic analysis framework for quantum calculus is proposed. The quantum derivative operator $D_{tau ,sigma}$ is based on two commuting bijections $tau$ and $sigma$ defined on an arbitrary set $M$ equipped with a tension structure determined by a single tension function $theta$, i.e. a 1-dimensional case is analyzed here. The well known cases, i.e. $h$- and $q$-calculi together with their symmetric versions, can be obtained owing to special choice of mappings $tau$ and $sigma$.

The abstract of this article will be published in the August 2012 issue of "Intellectual Archive Bulletin", ISSN 1929-1329.

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Piotr_Multarzynski__An_algebraic_analysis_framework.pdf



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