An Introduction to Hypergeometric, Supertrigonometric, and Superhyperbolic Functions
An Introduction to Hypergeometric, Supertrigonometric, and Superhyperbolic Functions

Author: Xiao-Jun Yang

Publisher: Academic Press

Published: 2021-01-23

Total Pages: 504

ISBN-13: 0323852823

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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

Theory and Applications of Special Functions for Scientists and Engineers
Theory and Applications of Special Functions for Scientists and Engineers

Author: Xiao-Jun Yang

Publisher: Springer Nature

Published: 2022-01-14

Total Pages: 910

ISBN-13: 9813363347

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This book provides the knowledge of the newly-established supertrigonometric and superhyperbolic functions with the special functions such as Mittag-Leffler, Wiman, Prabhakar, Miller-Ross, Rabotnov, Lorenzo-Hartley, Sonine, Wright and Kohlrausch-Williams-Watts functions, Gauss hypergeometric series and Clausen hypergeometric series. The special functions can be considered to represent a great many of the real-world phenomena in mathematical physics, engineering and other applied sciences. The audience benefits of new and original information and references in the areas of the special functions applied to model the complex problems with the power-law behaviors. The results are important and interesting for scientists and engineers to represent the complex phenomena arising in applied sciences therefore graduate students and researchers in mathematics, physics and engineering might find this book appealing.

Q-hypergeometric Functions and Applications
Q-hypergeometric Functions and Applications

Author: Harold Exton

Publisher:

Published: 1983

Total Pages: 360

ISBN-13:

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Good,No Highlights,No Markup,all pages are intact, Slight Shelfwear,may have the corners slightly dented, may have slight color changes/slightly damaged spine.

Generalized Hypergeometric Functions
Generalized Hypergeometric Functions

Author: Bernard Dwork

Publisher:

Published: 2023

Total Pages: 0

ISBN-13: 9781383025699

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Hypergeometric functions have occupied a significant position in mathematics for over two centuries. This monograph is concerned with the Boyarsky principle which expresses the analytic properties of a certain proto-gamma function.

Generalized Hypergeometric Functions
Generalized Hypergeometric Functions

Author: Bernard M. Dwork

Publisher:

Published: 1990

Total Pages: 206

ISBN-13:

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This monograph by one of the foremost experts on hypergeometric functions is concerned with the Boyarsky principle, developing a theory which is broad enough to encompass several of the most important hypergeometric functions.