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