Orthogonal Polynomials: Current Trends and Applications: Proceedings of the 7th Eibpoa Conference, Marcellбn Francisco, Huertas Edmundo J.
Автор: Van Assche Walter Название: Orthogonal Polynomials and Painleve Equations ISBN: 1108441947 ISBN-13(EAN): 9781108441940 Издательство: Cambridge Academ Рейтинг: Цена: 40130.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The first detailed account of the relationships between Painleve equations and orthogonal polynomials. It gives clear examples as well as proofs, and there are exercises throughout to help the reader get comfortable with the material. Useful for researchers across both fields and anyone interested in integrable systems and non-linear equations.
Автор: Allan M. Krall Название: Hilbert Space, Boundary Value Problems and Orthogonal Polynomials ISBN: 3034894597 ISBN-13(EAN): 9783034894593 Издательство: Springer Рейтинг: Цена: 74530.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The following tract is divided into three parts: Hilbert spaces and their (bounded and unbounded) self-adjoint operators, linear Hamiltonian systemsand their scalar counterparts and their application to orthogonal polynomials.
Part I: Introduction to Orthogonal Polynomials.- An Introduction to Orthogonal Polynomials.- Classical Continuous Orthogonal Polynomials.- Generating Functions and Hypergeometric Representations of Classical Continuous Orthogonal Polynomials.- Properties and Applications of the Zeros of Classical Continuous Orthogonal Polynomials.- Inversion, Multiplication and Connection Formulae of Classical Continuous Orthogonal Polynomials.- Classical Orthogonal Polynomials of a Discrete and a q-Discrete Variable.- Computer Algebra, Power Series and Summation.- On the Solutions of Holonomic Third-Order Linear Irreducible Differential Equations in Terms of Hypergeometric Functions.- The Gamma Function.- Part II: Recent Research Topics in Orthogonal Polynomials and Applications.- Hypergeometric Multivariate Orthogonal Polynomials.- Signal Processing, Orthogonal Polynomials, and Heun Equations.- Some Characterization Problems Related to Sheffer Polynomial Sets.- From Standard Orthogonal Polynomials to Sobolev Orthogonal Polynomials: The Role of Semiclassical Linear Functionals.- Two Variable Orthogonal Polynomials and Fejйr-Riesz Factorization.- Exceptional Orthogonal Polynomials and Rational Solutions to Painlevй Equations.- (R, p, q)-Rogers-Szegц and Hermite Polynomials, and Induced Deformed Quantum Algebras.- Zeros of Orthogonal Polynomials.- Properties of Certain Classes of Semiclassical Orthogonal Polynomials.- Orthogonal Polynomials and Computer Algebra.- Spin Chains, Graphs and State Revival.- An Introduction to Special Functions with Some Applications to Quantum Mechanics.- Orthogonal and Multiple Orthogonal Polynomials, Random Matrices, and Painlevй Equations.
Автор: Walter Van Assche Название: Asymptotics for Orthogonal Polynomials ISBN: 3540180230 ISBN-13(EAN): 9783540180234 Издательство: Springer Рейтинг: Цена: 37220.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Presents some results involving the asymptotic behaviour of orthogonal polynomials when the degree tends to infinity, assuming only a basic knowledge of real and complex analysis. This monograph provides an extensive treatment for orthogonal polynomials on a compact set and on an unbounded set.
Автор: Eli Levin; Doron S. Lubinsky Название: Orthogonal Polynomials for Exponential Weights ISBN: 1461265630 ISBN-13(EAN): 9781461265634 Издательство: Springer Рейтинг: Цена: 46570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The analysis of orthogonal polynomials associated with general weights has been a major theme in classical analysis this century. The use of potential theory since the early 1980s had a dramatic influence on the development of orthogonal polynomials associated with weights on the real line. For many applications of orthogonal polynomials, for example in approximation theory and numerical analysis, it is not asymptotics but certain bounds that are most important. In this monograph, the authors define and discuss their classes of weights, state several of their results on Christoffel functions, Bernstein inequalities, restricted range inequalities, and record their bounds on the orthogonal polynomials as well as their asymptotic results. This book will be of interest to researchers in approximation theory and potential theory, as well as in some branches of engineering.
Автор: Walter Gautschi; Gene H. Golub; Gerhard Opfer Название: Applications and Computation of Orthogonal Polynomials ISBN: 3034897286 ISBN-13(EAN): 9783034897280 Издательство: Springer Рейтинг: Цена: 93160.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This volume contains a collection of papers dealing with applications of orthogonal polynomials and methods for their computation, of interest to a wide audience of numerical analysts, engineers, and scientists. The applications address problems in applied mathematics as well as problems in engineering and the sciences.
Автор: J. Arvesu, G. Lopez Lagomasino Название: Recent Advances in Orthogonal Polynomials, Special Functions and Their Applications ISBN: 0821868969 ISBN-13(EAN): 9780821868966 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 85930.00 T Наличие на складе: Невозможна поставка. Описание: This volume contains the proceedings of the 11th International Symposium on Orthogonal Polynomials, Special Functions, and their Applications, held August 29-September 2, 2011, at the Universidad Carlos III de Madrid in Leganes, Spain. <br><br>The papers cover asymptotic properties of polynomials on curves of the complex plane, universality behavior of sequences of orthogonal polynomials for large classes of measures and its application in random matrix theory, the Riemann-Hilbert approach in the study of Pade approximation and asymptotics of orthogonal polynomials, quantum walks and CMV matrices, spectral modifications of linear functionals and their effect on the associated orthogonal polynomials, bivariate orthogonal polynomials, and optimal Riesz and logarithmic energy distribution of points. The methods used include potential theory, boundary values of analytic functions, Riemann-Hilbert analysis, and the steepest descent method.
Автор: Manuel Alfaro; Jesus S. Dehesa; Francisco J. Marce Название: Orthogonal Polynomials and their Applications ISBN: 3540194894 ISBN-13(EAN): 9783540194897 Издательство: Springer Рейтинг: Цена: 32560.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The Segovia meeting set out to stimulate an exchange of ideas between experts in the area of orthogonal polynomials and its applications. This volume contains research papers as well as survey papers about fundamental questions in the field and its relationship with other fields such as group theory, Pade approximation and differential equations.
Автор: I. Gohberg Название: Orthogonal Matrix-valued Polynomials and Applications ISBN: 3034854749 ISBN-13(EAN): 9783034854740 Издательство: Springer Рейтинг: Цена: 74530.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This paper is a largely expository account of the theory of p x p matrix polyno- mials associated with Hermitian block Toeplitz matrices and some related problems of interpolation and extension. , hn of p x p matrices with h-i = hj for j = 0, ... We let k = O, ... , hk and shall denote its 1 inverse H k by (k)] k [ r = .. k = O, ...
Автор: Walter Gautschi; Gene H. Golub; Gerhard Opfer Название: Applications and Computation of Orthogonal Polynomials ISBN: 3764361379 ISBN-13(EAN): 9783764361372 Издательство: Springer Рейтинг: Цена: 121070.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This volume contains a collection of papers dealing with applications of orthogonal polynomials and methods for their computation, of interest to a wide audience of numerical analysts, engineers, and scientists. The applications address problems in applied mathematics as well as problems in engineering and the sciences.
Автор: Richard Askey Название: Orthogonal Polynomials and Special Functions ISBN: 0898710189 ISBN-13(EAN): 9780898710182 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 54340.00 T Наличие на складе: Невозможна поставка. Описание: Originally presented as lectures, the theme of this volume is that one studies orthogonal polynomials and special functions not for their own sake, but to be able to use them to solve problems.
Автор: Dunkl Название: Orthogonal Polynomials of Several Variables ISBN: 1107071895 ISBN-13(EAN): 9781107071896 Издательство: Cambridge Academ Рейтинг: Цена: 141510.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Serving both as an introduction to the subject and as a reference, this book covers the general theory and emphasizes the classical types of orthogonal polynomials, or those of Gaussian type. Containing 25% brand new material, this revised edition reflects progress made in the field over the past decade.
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