Frontiers in Orthogonal Polynomials and Q-Series, Nashed M. Zuhair, Li Xin

Автор: Van Assche Walter
Название: Orthogonal Polynomials and Painleve Equations
ISBN: 1108441947 ISBN-13(EAN): 9781108441940
Издательство: Cambridge Academ
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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: A. Olevskii; B.P. Marshall; H.J. Christoffers
Название: Fourier Series with Respect to General Orthogonal Systems
ISBN: 3642660584 ISBN-13(EAN): 9783642660580
Издательство: Springer
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Описание: The fundamental problem of the theory of Fourier series consists of the investigation of the connections between the metric properties of the function expanded, the behavior of its Fourier coefficients {cn} with respect to an ortho- normal system of functions {

Автор: David E. Handelman
Название: Positive Polynomials, Convex Integral Polytopes, and a Random Walk Problem
ISBN: 3540184007 ISBN-13(EAN): 9783540184003
Издательство: Springer
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Описание: Emanating from the theory of C*-algebras and actions of tori theorem, this book discusses the problems that are outgrowths of random walk problems on lattices.

Автор: Paul Nevai
Название: Orthogonal Polynomials
ISBN: 9401067112 ISBN-13(EAN): 9789401067119
Издательство: Springer
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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: Foupouagnigni Mama, Koepf Wolfram
Название: Orthogonal Polynomials: 2nd Aims-Volkswagen Stiftung Workshop, Douala, Cameroon, 5-12 October, 2018
ISBN: 3030367436 ISBN-13(EAN): 9783030367435
Издательство: Springer
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Описание:

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: Alexander Prestel; Charles Delzell
Название: Positive Polynomials
ISBN: 3642074456 ISBN-13(EAN): 9783642074455
Издательство: Springer
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Описание: Positivity is one of the most basic mathematical concepts, involved in many areas of mathematics (analysis, real algebraic geometry, functional analysis, etc.). The main objective of the book is to give useful characterizations of polynomials. Beyond basic knowledge in algebra, only valuation theory as explained in the appendix is needed.

Автор: I. Gohberg
Название: Orthogonal Matrix-valued Polynomials and Applications
ISBN: 3034854749 ISBN-13(EAN): 9783034854740
Издательство: Springer
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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, ...