Some properties of deformed $q$-numbers

Details Some properties of deformed $q$-numbers Some properties of deformed $q$-numbers

2009-01-28

arxiv.org/abs/0901.4501v1

Brazilian J. Physics, 39 (2A), 402-407 (2009)

Physics

Mathematical Physics

8 pages, 1 eps figure

Scientific paper

Nonextensive statistical mechanics has been a source of investigation in mathematical structures such as deformed algebraic structures. In this work, we present some consequences of $q$-operations on the construction of $q$-numbers for all numerical sets. Based on such a construction, we present a new product that distributes over the $q$-sum. Finally, we present different patterns of $q$-Pascal's triangles, based on $q$-sum, whose elements are $q$-numbers.

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