Description

Book Synopsis
This book provides the knowledge of the newly-established supertrigonometric and superhyperbolic functions with the special functions such as Mittag-Leffler, Wiman, Prabhakar, Miller-Ross, Rabotnov, Lorenzo-Hartley, Sonine, Wright and Kohlrausch-Williams-Watts functions, Gauss hypergeometric series and Clausen hypergeometric series. The special functions can be considered to represent a great many of the real-world phenomena in mathematical physics, engineering and other applied sciences. The audience benefits of new and original information and references in the areas of the special functions applied to model the complex problems with the power-law behaviors.
The results are important and interesting for scientists and engineers to represent the complex phenomena arising in applied sciences therefore graduate students and researchers in mathematics, physics and engineering might find this book appealing.

Table of Contents

Chapter 1 Preliminaries.- Chapter 2 Wright Function and Integral Transforms via Dunkl Transform.- Chapter 3 Mittag-Leffler, Supertrigonometric and Superhyperbolic Functions.- Chapter 4 Wiman, Supertrigonometric and Superhyperbolic Functions.- Chapter 5 Prabhakar, Supertrigonometric and Superhyperbolic Functions.- Chapter 6 Other Special Functions Related to Mittag-Leffler Function.- Chapter 7 Kohlrausch-Williams-Watts Function and Related Topics Bibliography.

Theory and Applications of Special Functions for

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A Hardback by Xiao-Jun Yang

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    View other formats and editions of Theory and Applications of Special Functions for by Xiao-Jun Yang

    Publisher: Springer Verlag, Singapore
    Publication Date: 14/01/2022
    ISBN13: 9789813363335, 978-9813363335
    ISBN10: 9813363339

    Description

    Book Synopsis
    This book provides the knowledge of the newly-established supertrigonometric and superhyperbolic functions with the special functions such as Mittag-Leffler, Wiman, Prabhakar, Miller-Ross, Rabotnov, Lorenzo-Hartley, Sonine, Wright and Kohlrausch-Williams-Watts functions, Gauss hypergeometric series and Clausen hypergeometric series. The special functions can be considered to represent a great many of the real-world phenomena in mathematical physics, engineering and other applied sciences. The audience benefits of new and original information and references in the areas of the special functions applied to model the complex problems with the power-law behaviors.
    The results are important and interesting for scientists and engineers to represent the complex phenomena arising in applied sciences therefore graduate students and researchers in mathematics, physics and engineering might find this book appealing.

    Table of Contents

    Chapter 1 Preliminaries.- Chapter 2 Wright Function and Integral Transforms via Dunkl Transform.- Chapter 3 Mittag-Leffler, Supertrigonometric and Superhyperbolic Functions.- Chapter 4 Wiman, Supertrigonometric and Superhyperbolic Functions.- Chapter 5 Prabhakar, Supertrigonometric and Superhyperbolic Functions.- Chapter 6 Other Special Functions Related to Mittag-Leffler Function.- Chapter 7 Kohlrausch-Williams-Watts Function and Related Topics Bibliography.

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