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The deformed exponential functions of two variables

2010/05/27 by Miomir S. Stanković, Stanković, Miomir S., Sladjana D. Marinković +3
Mathematics · Physics and Astronomy · #30B50 #33B10 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Probability and Statistical Research #Statistical Mechanics and Entropy #Statistical and numerical algorithms #math.CA #msc:30B50 #msc:33B10

paper · pdf · doi:10.48550/arxiv.1005.5040

arxiv created 2010/05/27 · openalex publication_date 2010/05/27 · arxiv updated 2010/05/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the recent development in a various disciplines of physics, it is noted the need for including the deformed versions of the exponential functions. In this paper, we consider the deformations which have two purposes: to have them like special cases, and, even more, to acquit their inauguration from mathematical point of view. Really, we will show interesting differential and difference properties of our deformations which are important in forming and explanation of continuous and discrete models of numerous phenomena.

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