From Operator Theory to Orthogonal Polynomials, Combinatorics, and Number Theory: A Volume in Honor of Lance Littlejohn`s 70th Birthday, Gesztesy Fritz, Martinez-Finkelshtein Andrei
Автор: Van Assche Walter Название: Orthogonal Polynomials and Painleve Equations ISBN: 1108441947 ISBN-13(EAN): 9781108441940 Издательство: Cambridge Academ Рейтинг: Цена: 6019.00 р. 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.
Описание: The series is devoted to the publication of high-level monographs, surveys and proceedings which cover the whole spectrum of computational and applied mathematics. The books of this series are addressed to both specialists and advanced students. Interested authors may submit book proposals to the Managing Editor or to any member of the Editorial Board. Managing Editor Ulrich Langer , Johannes Kepler University Linz, Austria Editorial Board Hansjorg Albrecher , University of Lausanne, Switzerland Ronald H. W. Hoppe , University of Houston, USA Karl Kunisch , RICAM, Linz, Austria; University of Graz, Austria Harald Niederreiter , RICAM, Linz, Austria Christian Schmeiser , University of Vienna, Austria
Автор: Masser Название: Auxiliary Polynomials in Number Theory ISBN: 1107061571 ISBN-13(EAN): 9781107061576 Издательство: Cambridge Academ Рейтинг: Цена: 21226.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: A unified account of various aspects of a simple, yet powerful, classical method, illustrated by applications in several areas of number theory. These include diophantine approximation and transcendence, along with exponential sums and counting problems in both finite fields and the field of rationals. Recommended for graduates and professionals.
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.
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: Paul Nevai Название: Orthogonal Polynomials ISBN: 9401067112 ISBN-13(EAN): 9789401067119 Издательство: Springer Рейтинг: Цена: 12157.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Proceedings of the NATO Advanced Study Institute on Orthogonal Polynomials and Their Applications, Columbus, Ohio, U.S.A., May 22-June 3, 1989
Автор: I. Gohberg Название: Orthogonal Matrix-valued Polynomials and Applications ISBN: 3034854749 ISBN-13(EAN): 9783034854740 Издательство: Springer Рейтинг: Цена: 11179.00 р. 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: Nashed M. Zuhair, Li Xin Название: Frontiers in Orthogonal Polynomials and Q-Series ISBN: 9813228873 ISBN-13(EAN): 9789813228870 Издательство: World Scientific Publishing Рейтинг: Цена: 43037.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 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.
Описание: This accessible guide will tell you everything you need to know about parenting a child with a hidden condition, such as autism, dyspraxia, ADHD or bipolar, whether or not a formal diagnosis has been received. With information on various conditions and diagnoses, it includes candid advice and strategies from parents as well as young adults who grew up with a hidden condition themselves.
Автор: Adrianov, Nikolai M. Pakovich, Fedor Zvonkin, Alexander K. Название: Davenport-zannier polynomials and dessins d`enfants ISBN: 1470456346 ISBN-13(EAN): 9781470456344 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 17556.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The French expression "dessins d'enfants'' means children's drawings. This term was coined by the great French mathematician Alexandre Grothendieck in order to denominate a method of pictorial representation of some highly interesting classes of polynomials and rational functions. The polynomials studied in this book take their origin in number theory. The authors show how, by drawing simple pictures, one can prove some long-standing conjectures and formulate new ones. The theory presented here touches upon many different fields of mathematics.The major part of the book is quite elementary and is easily accessible to an undergraduate student. The less elementary parts, such as Galois theory or group representations and their characters, would need a more profound knowledge of mathematics. The reader may either take the basic facts of these theories for granted or use our book as a motivation and a first approach to these subjects.
Описание: This book contains selected papers based on talks given at the "Representation Theory, Number Theory, and Invariant Theory" conference held at Yale University from June 1 to June 5, 2015.
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