English

Some properties of deformed $q$-numbers

Mathematical Physics 2011-12-20 v1 math.MP

Abstract

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 qq-operations on the construction of qq-numbers for all numerical sets. Based on such a construction, we present a new product that distributes over the qq-sum. Finally, we present different patterns of qq-Pascal's triangles, based on qq-sum, whose elements are qq-numbers.

Keywords

Cite

@article{arxiv.0901.4501,
  title  = {Some properties of deformed $q$-numbers},
  author = {Thierry C. Petit Lobão and Pedro G. S. Cardoso and Suani T. R. Pinho and Ernesto P. Borges},
  journal= {arXiv preprint arXiv:0901.4501},
  year   = {2011}
}

Comments

8 pages, 1 eps figure

R2 v1 2026-06-21T12:05:36.155Z