Kohlrausch–Williams–Watts Function and Related Topics

Xiao-Jun Yang ()
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Xiao-Jun Yang: China University of Mining and Technology, School of Mathematics and State Key Laboratory for Geomechanics and Deep Underground Engineering

Chapter Chapter 7 in Theory and Applications of Special Functions for Scientists and Engineers, 2021, pp 757-882 from Springer

Abstract: Abstract In this chapter, we investigate the history, definitions, and properties of the Kohlrausch–Williams–Watts function. The subtrigonometric and subhyperbolic functions are addressed based on the Kohlrausch–Williams–Watts function. The subsurfaces and geometric representations are also proposed in detail. The Fourier-type series, the Fourier-like integral transforms, the Laplace-like transforms, and the Mellin-like transforms are investigated and presented with the aid of the new special functions.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-33-6334-2_7

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DOI: 10.1007/978-981-33-6334-2_7

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