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Theory and Applications of Special Functions for Scientists and Engineers

  • Book
  • © 2021

Overview

Authors:
  1. Xiao-Jun Yang

    1. School of Mathematics and State Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology, Xuzhou, China

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  • Addresses a family of the new special functions and provides the integral representations

  • Gives the generalized integral transforms via Dunkl theory

  • Presents the integral transforms via Kohlrausch-Williams-Watts function

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-xxi
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  2. Preliminaries

    • Xiao-Jun Yang
    Pages 1-145

  3. Wright Function and Integral Transforms via Dunkl Transform

    • Xiao-Jun Yang
    Pages 147-254

  4. Mittag-Leffler, Supertrigonometric, and Superhyperbolic Functions

    • Xiao-Jun Yang
    Pages 255-366

  5. Wiman, Supertrigonometric, and Superhyperbolic Functions

    • Xiao-Jun Yang
    Pages 367-498

  6. Prabhakar, Supertrigonometric, and Superhyperbolic Functions

    • Xiao-Jun Yang
    Pages 499-645

  7. Other Special Functions Related to Mittag-Leffler Function

    • Xiao-Jun Yang
    Pages 647-755

  8. Kohlrausch–Williams–Watts Function and Related Topics

    • Xiao-Jun Yang
    Pages 757-882

  9. Back Matter

    Pages 883-895
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Keywords

About this book

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.

Authors and Affiliations

  • School of Mathematics and State Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology, Xuzhou, China

    Xiao-Jun Yang

About the author

Xiao-Jun Yang PhD, is a professor of Applied Mathematics and Mechanics at China University of Mining and Technology, Xuzhou, China. His scientific interests include Mathematical Physics, Fractional Calculus and Applications, Fractals, Mechanics, Analytic Number Theory, Integral Transforms, and Special Functions. He recieved the Atanasije Stojkovič Medal, Belgrade, Serbia (2021). He was awarded the Abel Award (Istanbul, Turkey, 2020) for the achievements in the area of Fractional Calculus and its Applications. He was also awarded the Obada-Prize, Cairo, Egypt (2019). He was a recipient of the Young Scientist Award (2019) for the contributions in developing the Local Fractional Calculus at ICCMAS-2019, Istanbul, Turkey, and the Springer Distinguished Researcher Award (2019) at ICMMAAC-2019, Jaipur, India. He is the Highly Cited Researcher (2021,2020 and 2019, Clarivate Analytics) in Mathematics, and Elsevier Most Cited Chinese Researcher in Mathematics (2017, 2018, 2019, and 2020). He is one of the Scientific Committee of 10th edition of the Pan African Congress of Mathematicians. He is the author and co-author of 7 monographs for Elsevier, Springer Nature, CRC, World Science and Asian Academic, and co-editor of one edited book in De Gruyter. 



Bibliographic Information

  • Book Title: Theory and Applications of Special Functions for Scientists and Engineers

  • Authors: Xiao-Jun Yang

  • DOI: https://doi.org/10.1007/978-981-33-6334-2

  • Publisher: Springer Singapore

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2021

  • Hardcover ISBN: 978-981-33-6333-5Published: 14 January 2022

  • Softcover ISBN: 978-981-33-6336-6Published: 15 January 2023

  • eBook ISBN: 978-981-33-6334-2Published: 14 January 2022

  • Edition Number: 1

  • Number of Pages: XXI, 895

  • Number of Illustrations: 1 b/w illustrations

  • Topics: Special Functions, Integral Transforms, Operational Calculus

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