Arithmetical and geometrical means of generalized logarithmic and exponential functions: generalized sum and product operators
Statistical Mechanics
2009-10-20 v1 Disordered Systems and Neural Networks
Abstract
One-parameter generalizations of the logarithmic and exponential functions have been obtained as well as algebraic operators to retrieve extensivity. Analytical expressions for the successive applications of the sum or product operators on several values of a variable are obtained here. Applications of the above formalism are considered.
Keywords
Cite
@article{arxiv.0709.0018,
title = {Arithmetical and geometrical means of generalized logarithmic and exponential functions: generalized sum and product operators},
author = {Tiago Jose Arruda and Rodrigo Silva Gonzalez and Cesar Augusto Sangaletti Tercariol and Alexandre Souto Martinez},
journal= {arXiv preprint arXiv:0709.0018},
year = {2009}
}
Comments
5 pages, no figures