Theory and Applications of Special Functions for Scientists and Engineers

Xiao-Jun Yang (Autor)

Buch | Softcover

895 Seiten

2023 | 1st ed. 2021
Springer Verlag, Singapore
978-981-336-336-6 (ISBN)

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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.

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.

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.

Erscheinungsdatum	18.01.2023
Zusatzinfo	1 Illustrations, black and white; XXI, 895 p. 1 illus.
Verlagsort	Singapore
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	Clausen hypergeometric series • Gauss hypergeometric series • generalized calculus • integral transforms • Special Functions • Wright function
ISBN-10	981-336-336-3 / 9813363363
ISBN-13	978-981-336-336-6 / 9789813363366
Zustand	Neuware