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

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:

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.

Download or read book An Introduction to Hypergeometric Functions written by Daniel Duverney and published by Springer Nature. This book was released on with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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: 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.

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.

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:

Download or read book Hyperbolic Hypergeometric Functions written by Fokko Joppe van de Bult and published by . This book was released on 2007 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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:

Download or read book Theory of Hypergeometric Functions written by Kazuhiko Aomoto and published by . This book was released on 2011-05-16 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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:

Download or read book An Introduction to Hypergeometric Functions for Economists written by Karim M. Abadir and published by . This book was released on 1995 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Confluent Hypergeometric Functions written by Lucy Joan Slater and published by . This book was released on 1960 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Hypergeometric Functions and Their Applications written by James B. Seaborn and published by . This book was released on 1991-01-01 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many of the special functions of applied mathematics can be expressed in terms of hypergeometric functions. In this book each special function is seen to arise in one or more physical contexts as a solution of a differential equation that can be transformed into a hypergeometric equation. The special function is then defined in terms of a generalized hypergeometric function and the equivalence to alternate definitions is established. Many of the interesting and important properties of the special functions that one encounters in standard upper level textbooks on engineering, they physical sciences, and other branches of applied mathematics are derived. The close connection of the development with applications is emphasized throughout the book in the text and in the exercises.

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.

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 2023-01-15 with total page 0 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.

Download or read book Mittag Leffler Functions Related Topics and Applications written by Rudolf Gorenflo and published by Springer. This book was released on 2014-10-16 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: As a result of researchers’ and scientists’ increasing interest in pure as well as applied mathematics in non-conventional models, particularly those using fractional calculus, Mittag-Leffler functions have recently caught the interest of the scientific community. Focusing on the theory of the Mittag-Leffler functions, the present volume offers a self-contained, comprehensive treatment, ranging from rather elementary matters to the latest research results. In addition to the theory the authors devote some sections of the work to the applications, treating various situations and processes in viscoelasticity, physics, hydrodynamics, diffusion and wave phenomena, as well as stochastics. In particular the Mittag-Leffler functions allow us to describe phenomena in processes that progress or decay too slowly to be represented by classical functions like the exponential function and its successors. The book is intended for a broad audience, comprising graduate students, university instructors and scientists in the field of pure and applied mathematics, as well as researchers in applied sciences like mathematical physics, theoretical chemistry, bio-mathematics, theory of control and several other related areas.