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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

Book Synopsis An Introduction to Hypergeometric, Supertrigonometric, and Superhyperbolic Functions by : Xiao-Jun Yang

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

Towards Ulam Type Multi Stability Analysis

Author: Safoura Rezaei Aderyani

Publisher: Springer Nature

Published:

Total Pages: 580

ISBN-13: 3031555643

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Book Synopsis Towards Ulam Type Multi Stability Analysis by : Safoura Rezaei Aderyani

Download or read book Towards Ulam Type Multi Stability Analysis written by Safoura Rezaei Aderyani and published by Springer Nature. This book was released on with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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.

Book Synopsis Theory and Applications of Special Functions for Scientists and Engineers by : Xiao-Jun Yang

Download or read book Theory and Applications of Special Functions for Scientists and Engineers written by Xiao-Jun Yang and published by Springer Nature. This book was released on 2022-01-14 with total page 910 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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.

Book Synopsis Generalized Hypergeometric Functions by : Bernard Dwork

Download or read book Generalized Hypergeometric Functions written by Bernard Dwork and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 with Applications in Statistics and Physical Sciences

Author: A. M. Mathai

Publisher:

Published: 1973

Total Pages: 340

ISBN-13:

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Book Synopsis Generalized Hypergeometric Functions with Applications in Statistics and Physical Sciences by : A. M. Mathai

Download or read book Generalized Hypergeometric Functions with Applications in Statistics and Physical Sciences written by A. M. Mathai and published by . This book was released on 1973 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Generalized Hypergeometric Functions with Applications in Statistics and Physical Sciences

Author: A. M. Mathai

Publisher:

Published: 2014-01-15

Total Pages: 328

ISBN-13: 9783662166468

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Book Synopsis Generalized Hypergeometric Functions with Applications in Statistics and Physical Sciences by : A. M. Mathai

Download or read book Generalized Hypergeometric Functions with Applications in Statistics and Physical Sciences written by A. M. Mathai and published by . This book was released on 2014-01-15 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Q-hypergeometric Functions and Applications

Author: Harold Exton

Publisher:

Published: 1983

Total Pages: 360

ISBN-13:

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Book Synopsis Q-hypergeometric Functions and Applications by : Harold Exton

Download or read book Q-hypergeometric Functions and Applications written by Harold Exton and published by . This book was released on 1983 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Generalized Hypergeometric Functions

Author: Lucy Joan Slater

Publisher:

Published: 1966

Total Pages: 273

ISBN-13:

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Book Synopsis Generalized Hypergeometric Functions by : Lucy Joan Slater

Download or read book Generalized Hypergeometric Functions written by Lucy Joan Slater and published by . This book was released on 1966 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Theory of Hypergeometric Functions

Author: Kazuhiko Aomoto

Publisher: Springer Science & Business Media

Published: 2011-05-21

Total Pages: 327

ISBN-13: 4431539387

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This book presents a geometric theory of complex analytic integrals representing hypergeometric functions of several variables. Starting from an integrand which is a product of powers of polynomials, integrals are explained, in an open affine space, as a pair of twisted de Rham cohomology and its dual over the coefficients of local system. It is shown that hypergeometric integrals generally satisfy a holonomic system of linear differential equations with respect to the coefficients of polynomials and also satisfy a holonomic system of linear difference equations with respect to the exponents. These are deduced from Grothendieck-Deligne’s rational de Rham cohomology on the one hand, and by multidimensional extension of Birkhoff’s classical theory on analytic difference equations on the other.

Book Synopsis Theory of Hypergeometric Functions by : Kazuhiko Aomoto

Download or read book Theory of Hypergeometric Functions written by Kazuhiko Aomoto and published by Springer Science & Business Media. This book was released on 2011-05-21 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a geometric theory of complex analytic integrals representing hypergeometric functions of several variables. Starting from an integrand which is a product of powers of polynomials, integrals are explained, in an open affine space, as a pair of twisted de Rham cohomology and its dual over the coefficients of local system. It is shown that hypergeometric integrals generally satisfy a holonomic system of linear differential equations with respect to the coefficients of polynomials and also satisfy a holonomic system of linear difference equations with respect to the exponents. These are deduced from Grothendieck-Deligne’s rational de Rham cohomology on the one hand, and by multidimensional extension of Birkhoff’s classical theory on analytic difference equations on the other.

Theory and Applications of Special Functions for Scientists and Engineers

Author: Xiao-Jun Yang

Publisher: Springer

Published: 2022-01-14

Total Pages: 895

ISBN-13: 9789813363335

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Book Synopsis Theory and Applications of Special Functions for Scientists and Engineers by : Xiao-Jun Yang

Download or read book Theory and Applications of Special Functions for Scientists and Engineers written by Xiao-Jun Yang and published by Springer. This book was released on 2022-01-14 with total page 895 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.