An Introduction to Hypergeometric, Supertrigonometric, and Superhyperbolic Functions

Download or read book An Introduction to Hypergeometric, Supertrigonometric, and Superhyperbolic Functions written by Xiao-Jun Yang and published by Academic Press. This book was released on 2021-01-23 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. - 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