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An Introduction to Hypergeometric, Supertrigonometric, and Superhyperbolic Functions

Autor Xiao-Jun Yang
en Limba Engleză Paperback – 27 ian 2021
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
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Specificații

ISBN-13: 9780128241547
ISBN-10: 0128241543
Pagini: 502
Dimensiuni: 191 x 235 x 30 mm
Greutate: 0.86 kg
Editura: ELSEVIER SCIENCE

Public țintă

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.

Cuprins

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

Recenzii

"Publisher’s description: The book 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." --zbMATH Open