Q Hypergeometric Functions And Applications
Download Q Hypergeometric Functions And Applications full books in PDF, epub, and Kindle. Read online free Q Hypergeometric Functions And Applications ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
| Author | : Nathan Jacob Fine |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 142 |
| Release | : 1988 |
| Genre | : Mathematics |
| ISBN | : 0821815245 |
The theory of partitions, founded by Euler, has led in a natural way to the idea of basic hypergeometric series, also known as Eulerian series. These series were first studied systematically by Heine, but many early results are attributed to Euler, Gauss, and Jacobi. This book provides a simple approach to basic hypergeometric series.
| Author | : Harold Exton |
| Publisher | : |
| Total Pages | : 360 |
| Release | : 1983 |
| Genre | : Mathematics |
| ISBN | : |
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.
| Author | : George Gasper |
| Publisher | : |
| Total Pages | : 456 |
| Release | : 2011-02-25 |
| Genre | : Mathematics |
| ISBN | : 0511889186 |
Significant revision of classic reference in special functions.
| Author | : James B. Seaborn |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 261 |
| Release | : 2013-04-09 |
| Genre | : Science |
| ISBN | : 1475754434 |
Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the clas sical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Mathe matical Sciences (AMS) series, which will focus on advanced textbooks and research level monographs. Preface A wide range of problems exists in classical and quantum physics, engi neering, and applied mathematics in which special functions arise. The procedure followed in most texts on these topics (e. g. , quantum mechanics, electrodynamics, modern physics, classical mechanics, etc. ) is to formu late the problem as a differential equation that is related to one of several special differential equations (Hermite's, Bessel's, Laguerre's, Legendre's, etc. ).
| Author | : Kazuhiko Aomoto |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 327 |
| Release | : 2011-05-21 |
| Genre | : Mathematics |
| ISBN | : 4431539387 |
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.
| Author | : M Zuhair Nashed |
| Publisher | : World Scientific |
| Total Pages | : 577 |
| Release | : 2018-01-12 |
| Genre | : Mathematics |
| ISBN | : 981322889X |
This volume aims to highlight trends and important directions of research in orthogonal polynomials, q-series, and related topics in number theory, combinatorics, approximation theory, mathematical physics, and computational and applied harmonic analysis. This collection is based on the invited lectures by well-known contributors from the International Conference on Orthogonal Polynomials and q-Series, that was held at the University of Central Florida in Orlando, on May 10-12, 2015. The conference was dedicated to Professor Mourad Ismail on his 70th birthday.The editors strived for a volume that would inspire young researchers and provide a wealth of information in an engaging format. Theoretical, combinatorial and computational/algorithmic aspects are considered, and each chapter contains many references on its topic, when appropriate.
| Author | : Ali Aral |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 275 |
| Release | : 2013-05-09 |
| Genre | : Mathematics |
| ISBN | : 1461469465 |
The approximation of functions by linear positive operators is an important research topic in general mathematics and it also provides powerful tools to application areas such as computer-aided geometric design, numerical analysis, and solutions of differential equations. q-Calculus is a generalization of many subjects, such as hypergeometric series, complex analysis, and particle physics. This monograph is an introduction to combining approximation theory and q-Calculus with applications, by using well- known operators. The presentation is systematic and the authors include a brief summary of the notations and basic definitions of q-calculus before delving into more advanced material. The many applications of q-calculus in the theory of approximation, especially on various operators, which includes convergence of operators to functions in real and complex domain forms the gist of the book. This book is suitable for researchers and students in mathematics, physics and engineering, and for professionals who would enjoy exploring the host of mathematical techniques and ideas that are collected and discussed in the book.
| Author | : George E. Andrews |
| Publisher | : Cambridge University Press |
| Total Pages | : 684 |
| Release | : 1999 |
| Genre | : Mathematics |
| ISBN | : 9780521789882 |
An overview of special functions, focusing on the hypergeometric functions and the associated hypergeometric series.
| Author | : A.M. Mathai |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 480 |
| Release | : 2008-02-13 |
| Genre | : Science |
| ISBN | : 0387758941 |
This book, written by a highly distinguished author, provides the required mathematical tools for researchers active in the physical sciences. The book presents a full suit of elementary functions for scholars at PhD level. The opening chapter introduces elementary classical special functions. The final chapter is devoted to the discussion of functions of matrix argument in the real case. The text and exercises have been class-tested over five different years.
| Author | : A.M. Mathai |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 276 |
| Release | : 2009-10-10 |
| Genre | : Science |
| ISBN | : 1441909168 |
TheH-function or popularly known in the literature as Fox’sH-function has recently found applications in a large variety of problems connected with reaction, diffusion, reaction–diffusion, engineering and communication, fractional differ- tial and integral equations, many areas of theoretical physics, statistical distribution theory, etc. One of the standard books and most cited book on the topic is the 1978 book of Mathai and Saxena. Since then, the subject has grown a lot, mainly in the elds of applications. Due to popular demand, the authors were requested to - grade and bring out a revised edition of the 1978 book. It was decided to bring out a new book, mostly dealing with recent applications in statistical distributions, pa- way models, nonextensive statistical mechanics, astrophysics problems, fractional calculus, etc. and to make use of the expertise of Hans J. Haubold in astrophysics area also. It was decided to con ne the discussion toH-function of one scalar variable only. Matrix variable cases and many variable cases are not discussed in detail, but an insight into these areas is given. When going from one variable to many variables, there is nothing called a unique bivariate or multivariate analogue of a givenfunction. Whatever be the criteria used, there may be manydifferentfunctions quali ed to be bivariate or multivariate analogues of a given univariate function. Some of the bivariate and multivariateH-functions, currently in the literature, are also questioned by many authors.
