The Rκκ function and its applications: disentropy, image processing and the κ-diode

Three generalizations of the Lambert W function were recently discussed in the literature: the Lambert–Tsallis W q function, the R qq function and the Lambert–Kaniadakis W κ function. All of them have been used in interesting problems in physics and engineering. In this direction, the present work i...

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Bibliographic Details
Published in:European physical journal plus 2022-03, Vol.137 (3), p.320, Article 320
Main Authors: da Silva, J. L. E., Mendes, F. V., Ramos, R. V.
Format: Article
Language:English
Subjects:
Algorithms
Applied and Technical Physics
Atomic
Complex Systems
Condensed Matter Physics
Entropy
Image processing
Information theory
Mathematical and Computational Physics
Molecular
Optical and Plasma Physics
Physics
Physics and Astronomy
Regular Article
Solar physics
Theoretical
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Summary:Three generalizations of the Lambert W function were recently discussed in the literature: the Lambert–Tsallis W q function, the R qq function and the Lambert–Kaniadakis W κ function. All of them have been used in interesting problems in physics and engineering. In this direction, the present work introduces a fourth generalization, the new function R κκ ( z ), solution of the equation R κκ ( z ) ×  κ exp κ ( R κκ ( z )) =  z . In this work, it is shown this new function can be used to construct a new disentropy as well it is used to model the κ -diode, a hypothetical electronic device whose electrical current depends κ -exponentially on the voltage between its terminals. Analytical and numerical results for R κκ , the new disentropy and κ -diode are presented.
ISSN:2190-5444
2190-5444
DOI:10.1140/epjp/s13360-022-02555-4