Some Generalized Hypergeometric Polynomials
Author | : |
Publisher | : |
Total Pages | : 0 |
Release | : 1947 |
Genre | : |
ISBN | : |
Download Some Generalized Hypergeometric Polynomials Book in PDF, ePub and Kindle
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Some Generalized Hypergeometric Polynomials PDF full book. Access full book title Some Generalized Hypergeometric Polynomials.
Author | : |
Publisher | : |
Total Pages | : 0 |
Release | : 1947 |
Genre | : |
ISBN | : |
Author | : Sister Mary Céline Fasenmyer |
Publisher | : |
Total Pages | : 16 |
Release | : 1947 |
Genre | : Functions, Hypergeometric |
ISBN | : |
Author | : H. van Haeringen |
Publisher | : |
Total Pages | : 14 |
Release | : 1997 |
Genre | : |
ISBN | : |
Author | : A. M. Mathai |
Publisher | : Springer |
Total Pages | : 322 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 3540378006 |
Author | : Richard Askey |
Publisher | : American Mathematical Soc. |
Total Pages | : 63 |
Release | : 1985 |
Genre | : Jacobi polynomials |
ISBN | : 0821823213 |
A very general set of orthogonal polynomials in one variable that extends the classical polynomials is a set we called the q-Racah polynomials. In an earlier paper we gave the orthogonality relation for these polynomials when the orthogonality is purely discrete. We now give the weight function in the general case and a number of other properties of these very interesting orthogonal polynomials.
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 | : Herbert Buchholz |
Publisher | : Springer Science & Business Media |
Total Pages | : 255 |
Release | : 2013-11-22 |
Genre | : Science |
ISBN | : 3642883966 |
The subject of this book is the higher transcendental function known as the confluent hypergeometric function. In the last two decades this function has taken on an ever increasing significance because of its use in the application of mathematics to physical and technical problems. There is no doubt that this trend will continue until the general theory of confluent hypergeometric functions becomes familiar to the majority of physicists in much the same way as the cylinder functions, which were previously less well known, are now used in many engineering and physical problems. This book is intended to further this development. The important practical significance of the functions which are treated hardly demands an involved discussion since they include, as special cases, a number of simpler special functions which have long been the everyday tool of the physicist. It is sufficient to mention that these include, among others, the logarithmic integral, the integral sine and cosine, the error integral, the Fresnel integral, the cylinder functions and the cylinder function in parabolic cylindrical coordinates. For anyone who puts forth the effort to study the confluent hypergeometric function in more detail there is the inestimable advantage of being able to understand the properties of other functions derivable from it. This gen eral point of view is particularly useful in connection with series ex pansions valid for values of the argument near zero or infinity and in connection with the various integral representations.
Author | : Donald St. P. Richards |
Publisher | : American Mathematical Soc. |
Total Pages | : 272 |
Release | : 1992 |
Genre | : Mathematics |
ISBN | : 0821851594 |
This book is the first set of proceedings to be devoted entirely to the theory of hypergeometric functions defined on domains of positivity. Most of the scientific areas in which these functions are applied include analytic number theory, combinatorics, harmonic analysis, random walks, representation theory, and mathematical physics - are represented here. This volume is based largely on lectures presented at a Special Session at the AMS meeting in Tampa, Florida in March 1991, which was devoted to hypergeometric functions of matrix argument and to fostering communication among representatives of the diverse scientific areas in which these functions are utilized. Accessible to graduate students and others seeking an introduction to the state of the art in this area, this book is a suitable text for advanced graduate seminar courses for it contains many open problems.
Author | : Wolfram Koepf |
Publisher | : Springer |
Total Pages | : 290 |
Release | : 2014-06-10 |
Genre | : Computers |
ISBN | : 1447164644 |
Modern algorithmic techniques for summation, most of which were introduced in the 1990s, are developed here and carefully implemented in the computer algebra system MapleTM. The algorithms of Fasenmyer, Gosper, Zeilberger, Petkovšek and van Hoeij for hypergeometric summation and recurrence equations, efficient multivariate summation as well as q-analogues of the above algorithms are covered. Similar algorithms concerning differential equations are considered. An equivalent theory of hyperexponential integration due to Almkvist and Zeilberger completes the book. The combination of these results gives orthogonal polynomials and (hypergeometric and q-hypergeometric) special functions a solid algorithmic foundation. Hence, many examples from this very active field are given. The materials covered are suitable for an introductory course on algorithmic summation and will appeal to students and researchers alike.
Author | : Richard Askey |
Publisher | : |
Total Pages | : 55 |
Release | : 1986 |
Genre | : |
ISBN | : |