Title:

Remarks about the square equation : functional square root of a logarithm

Group publication title:

Mathematical Economics

Creator:

Maciuk, Arkadiusz ; Smoluk, Antoni

Subject and Keywords:

functional square root ; fractional iteration ; power series ; logarithm ; semigroup

Description:

Mathematical Economics, 2016, Nr 12 (19), s. 39-52

Abstrakt:

The study shows that the functional equation f (f (x)) = ln(1 + x) has a unique result in a semigroup of power series with the intercept equal to 0 and the function composition as an operation. This function is continuous, as per the work of Paulsen [2016]. This solution introduces into statistics the law of the one-and-a-half logarithm. Sometimes the natural growth processes do not yield to the law of the logarithm, and a double logarithm weakens the growth too much. The law of the one-and-a-half logarithm proposed in this study might be the solution

Publisher:

Wydawnictwo Uniwersytetu Ekonomicznego we Wrocławiu

Place of publication:

Wrocław

Date:

2016

Resource Type:

artykuł

Format:

application/pdf

Resource Identifier:

doi:10.15611/me.2016.12.04

Language:

eng

Relation:

Mathematical Economics, 2016, Nr 12 (19)

Rights:

Pewne prawa zastrzeżone na rzecz Autorów i Wydawcy

Access Rights:

Dla wszystkich zgodnie z licencją

License:

CC BY-NC-ND

Location:

Uniwersytet Ekonomiczny we Wrocławiu