Arithmetical and geometrical means of generalized logarithmic and exponential functions: generalized sum and product operators
arXiv:0709.0018 · doi:10.1016/j.physleta.2007.12.020
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.
5 pages, no figures