A note on the definition of deformed exponential and logarithm functions

Simple item page
dc.contributor.authorOikonomou, Th.
dc.contributor.authorBaris Bagci, G.
dc.date.accessioned2016-01-26T10:36:41Z
dc.date.available2016-01-26T10:36:41Z
dc.date.issued2009
dc.description.abstractThe recent generalizations of the Boltzmann–Gibbs statistics mathematically rely on the deformed logarithmic and exponential functions defined through some deformation parameters. In the present work, we investigate whether a deformed logarithmic/exponential map is a bijection from R+ /R set of positive real numbers/ all real numbers to R/R+, as their undeformed counterparts. We show that their inverse map exists only in some subsets of the aforementioned co domains. Furthermore, we present conditions which a generalized deformed function has to satisfy, so that the most important properties of the ordinary functions are preserved. The fulfillment of these conditions permits us to determine the validity interval of the deformation parameters. We finally apply our analysis to Tsallis q-deformed functions and discuss the interval of concavity of the Rényi entropyru_RU
dc.identifier.citationThomas Oikonomou, G. Baris Bagci; 2009; A note on the definition of deformed exponential and logarithm functions; Journal of Mathematical Physics; http://scitation.aip.org/content/aip/journal/jmp/50/10/10.1063/1.3227657ru_RU
dc.identifier.urihttp://nur.nu.edu.kz/handle/123456789/1040
dc.language.isoenru_RU
dc.subjectdeformed exponential and logarithm functionsru_RU
dc.titleA note on the definition of deformed exponential and logarithm functionsru_RU
dc.typeArticleru_RU

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
[07][OikBagci][JMP2009]A note on deformed functions.pdf
Size:
195.23 KB
Format:
Adobe Portable Document Format
Description:
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
6.35 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

Articles