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An Introduction to Hypergeometric, Supertrigonometric, and Superhyperbolic Functions

Langue : Anglais

Auteur :

Couverture de l’ouvrage An Introduction to Hypergeometric, Supertrigonometric, and Superhyperbolic Functions
An Introduction to Hypergeometric, Supertigonometric, and Superhyperbolic Functions gives a basic introduction to the newly established hypergeometric, supertrigonometric, and superhyperbolic functions from the special functions viewpoint. The special functions, such as the Euler Gamma function, the Euler Beta function, the Clausen hypergeometric series, and the Gauss hypergeometric have been successfully applied to describe the real-world phenomena that involve complex behaviors arising in mathematics, physics, chemistry, and engineering.

1. Euler Gamma function, Pochhammer symbols and Euler beta function2. Hypergeometric supertrigonometric and superhyperbolic functions via Clausen hypergeometricseries3. Hypergeometric supertrigonometric and superhyperbolic functions via Gauss hypergeometricseries4. Hypergeometric supertrigonometric and superhyperbolic functions via Kummer confluenthypergeometric series5. Hypergeometric supertrigonometric and superhyperbolic functions via Jacobi polynomials6. Hypergeometric supertrigonometric functions and superhyperbolic functions via Laguerrepolynomials7. Hypergeometric supertrigonometric and superhyperbolic functions via Legendre Polynomials

The potential audience includes, but is not limited to, researchers in the fields of mathematics, physics, chemistry and engineering. It can also be used as a textbook for an introductory course on special functions and applications for senior undergraduate and graduate students in the above- mentioned areas.

Dr. Xiao-Jun Yang is a full professor of China University of Mining and Technology, China. He was awarded the 2019 Obada-Prize, the Young Scientist Prize (Turkey), and Springer's Distinguished Researcher Award. His scientific interests include: Viscoelasticity, Mathematical Physics, Fractional Calculus and Applications, Fractals, Analytic Number Theory, and Special Functions. He has published over 160 journal articles and 4 monographs, 1 edited volume, and 10 chapters. He is currently an editor of several scientific journals, such as Fractals, Applied Numerical Mathematics, Mathematical Methods in the Applied Sciences, Mathematical Modelling and Analysis, Journal of Thermal Stresses, and Thermal Science, and an associate editor of Journal of Thermal Analysis and Calorimetry, Alexandria Engineering Journal, and IEEE Access.
  • Provides a historical overview for a family of the special polynomials
  • Presents a logical investigation of a family of the hypergeometric series
  • Proposes a new family of the hypergeometric supertrigonometric functions
  • Presents a new family of the hypergeometric superhyperbolic functions