Abstract
We propose a two-parametric nondistributive algebraic structure that follows from (q,q′)-logarithm and (q,q′)-exponential functions. Properties of generalized (q,q′)-operators are analyzed. We also generalize the proposal into a multiparametric structure (generalization of logarithm and exponential functions and the corresponding algebraic operators). All n-parameter expressions recover (n−1)-generalization when the corresponding qn→1. Nonextensive statistical mechanics has been the source of successive generalizations of entropic forms and mathematical structures, in which this work is a consequence.
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