Main description:

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.

Contents:

1. Euler Gamma function, Pochhammer symbols and Euler beta function 2. Hypergeometric supertrigonometric and superhyperbolic functions via Clausen hypergeometric series 3. Hypergeometric supertrigonometric and superhyperbolic functions via Gauss hypergeometric series 4. Hypergeometric supertrigonometric and superhyperbolic functions via Kummer confluent hypergeometric series 5. Hypergeometric supertrigonometric and superhyperbolic functions via Jacobi polynomials 6. Hypergeometric supertrigonometric functions and superhyperbolic functions via Laguerre polynomials 7. Hypergeometric supertrigonometric and superhyperbolic functions via Legendre Polynomials