The deformed exponential functions of two variables in the context of various statistical mechanics

DOI10.1016/J.AMC.2011.07.056zbMath1244.82007OpenAlexW1988943926MaRDI QIDQ425418

Sladjana D. Marinković, Miomir S. Stanković, Predrag M. Rajković

Publication date: 8 June 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.07.056

zbMATH Keywords

exponential functiondifference operatordifferential operator

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Functions of hypercomplex variables and generalized variables (30G35) Foundations of equilibrium statistical mechanics (82B03)

Related Items (4)

Theoretical foundations and mathematical formalism of the power-law tailed statistical distributions ⋮ Functions induced by iterated deformed Laguerre derivative: analytical and operational approach ⋮ Mittag–Leffler functions,l^pn-balls and geometric pairings ⋮ The Laplace transform induced by the deformed exponential function of two variables

Cites Work

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• The deformed and modified Mittag-Leffler polynomials
• Laguerre-type special functions and population dynamics
• The generalization of special functions
• Maximum entropy principle and power-law tailed distributions
• Generalized algebra within a nonextensive statistics
• Possible generalization of Boltzmann-Gibbs statistics.
• Nonextensive statistical mechanics of \(q\)-bosons based on the \(q\)-deformed entropy
• Modelling population growth via Laguerre-type exponentials
• Introduction to Nonextensive Statistical Mechanics
• Non-linear kinetics underlying generalized statistics

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