Authors: Stanković, Miomir 
Marinković, Slađana
Rajković, Predrag
Title: A deformed exponential function of two variables - Motivation and applications
Journal: AIP Conference Proceedings
Volume: 1404
First page: 265
Last page: 270
Conference: 3rd International Conference on Application of Mathematics in Technical and Natural Sciences, AMiTaNS'11; Albena; Bulgaria; 20 June 2011 through 25 June 2011
Issue Date: 21-Dec-2011
Rank: M33
ISBN: 9780735409767
ISSN: 0094243X
DOI: 10.1063/1.3659929
In the recent development in various disciplines of physics, it is noted the need for including the deformed versions of the exponential functions. In last two decades, the Tsallis version has found a lot of applications. In this paper, we consider a deformation which has two purposes. First, we introduce it as more general mathematical tool where the Tsallis exponential function is the special case. Then, we prove that it has a lot of interesting properties from mathematical point of view and possibilities in the applications. We emphasize the differential and difference properties of our deformation which are important for the formation and explanation of continuous and discrete models of numerous phenomena. © 2011 American Institute of Physics.
Keywords: difference operator | differential operator | Exponential function | Malthus model

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