Theory and Applications of Special Functions for Scientists and Engineers

This book provides information on newly-established supertrigonometric and superhyperbolic functions, special functions, and their applications to model complex problems with power-law behaviors. It is useful for graduate students and researchers in mathematics, physics, and engineering.

Format: Paperback / softback
Length: 895 pages
Publication date: 15 January 2023
Publisher: Springer Verlag, Singapore

This comprehensive book delves into the realm of newly-established supertrigonometric and superhyperbolic functions, encompassing a wide range of special functions such as Mittag-Leffler, Wiman, Prabhakar, Miller-Ross, Rabotnov, Lorenzo-Hartley, Sonine, Wright, and Kohlrausch-Williams-Watts functions. These special functions play a pivotal role in representing numerous real-world phenomena in mathematical physics, engineering, and various applied sciences. By utilizing these functions, researchers and practitioners can effectively model complex problems characterized by power-law behaviors.

The audience of this book will greatly benefit from the abundance of new and original information and comprehensive references provided in the fields of special functions applied to model complex problems with power-law behaviors. The results obtained are of significant importance and interest to scientists and engineers, as they enable them to represent intricate phenomena arising in applied sciences. This book is particularly appealing to graduate students and researchers in mathematics, physics, and engineering who seek to expand their knowledge and expertise in this field.

The book is organized into five chapters, each dedicated to exploring different aspects of supertrigonometric and superhyperbolic functions. The first chapter provides an introduction to the basic concepts and definitions of these functions, while subsequent chapters delve into their properties, applications, and mathematical techniques. Special attention is given to the representation theory of these functions, including the development of integral transforms and series representations.

In the second chapter, the authors explore the applications of supertrigonometric and superhyperbolic functions in mathematical physics. They discuss how these functions can be used to model phenomena such as black holes, gravitational waves, and quantum mechanics. The chapter also highlights the importance of special functions in the study of cosmology and astrophysics.

The third chapter focuses on the applications of supertrigonometric and superhyperbolic functions in engineering. The authors discuss how these functions can be used to model complex systems, such as electrical networks, fluid dynamics, and mechanical systems. They also explore the use of these functions in the design of antennas, filters, and other electronic devices.

The fourth chapter explores the use of supertrigonometric and superhyperbolic functions in other applied sciences, such as computer science, statistics, and finance. The authors discuss how these functions can be used to model complex systems, such as social networks, genetic algorithms, and financial markets. They also highlight the importance of these functions in data analysis and machine learning.

The fifth chapter concludes the book by discussing the future directions and potential research areas in the field of supertrigonometric and superhyperbolic functions. The authors suggest several promising research topics, including the study of higher-dimensional superfunctions, the application of superfunctions to quantum computing, and the development of new mathematical techniques for analyzing superfunctions.

In conclusion, this book is a valuable resource for researchers and practitioners in mathematics, physics, and engineering who are interested in the study of supertrigonometric and superhyperbolic functions. The comprehensive coverage of special functions, their applications, and mathematical techniques makes it an essential reference for graduate students and researchers in these fields. The results obtained are of significant importance and interest to scientists and engineers, as they enable them to represent intricate phenomena arising in applied sciences.

Weight: 1383g
Dimension: 235 x 155 (mm)
ISBN-13: 9789813363366
Edition number: 1st ed. 2021