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#### Convergence Problems of Orthogonal Series

Elsevier Science 2014; US$ 72.95Convergence Problems of Orthogonal Series deals with the theory of convergence and summation of the general orthogonal series in relation to the general theory and classical expansions. The book reviews orthogonality, orthogonalization, series of orthogonal functions, complete orthogonal systems, and the Riesz-Fisher theorem. The text examines Jacobi... more...

#### Tables of Laguerre Polynomials and Functions

Elsevier Science 2014; US$ 31.95Tables of Laguerre Polynomials and Functions contains the values of Laguerre polynomials and Laguerre functions for n = 2 , 3 , . . . , 7 ; s = 0(0.1) 1; x = 0(0.1) 10(0.2) 30, and the zeroes and coefficients of the polynomials for n = 2 (1) 10 and s = 0(0.05) 1. The book also explains the Laguerre polynomials, their properties, Laguerre functions,... more...

#### Orthogonal Polynomials

Elsevier Science 2014; US$ 72.95Orthogonal Polynomials contains an up-to-date survey of the general theory of orthogonal polynomials. It deals with the problem of polynomials and reveals that the sequence of these polynomials forms an orthogonal system with respect to a non-negative m-distribution defined on the real numerical axis. Comprised of five chapters, the book begins... more...

#### Continuous Time Dynamical Systems

CRC Press 2012; US$ 167.95Introduction Optimal Control Problem Historical Perspective Organization of the Book Orthogonal Functions and Their Properties Introduction Block-Pulse Functions (BPFs) Legendre Polynomials (LPs) Shifted Legendre Polynomials (SLPs) Nonlinear Operational Matrix Rationale for Choosing BPFs and SLPs State Estimation Introduction Inherent... more...

#### Triangular Orthogonal Functions for the Analysis of Continuous Time Systems

Anthem Press 2011; US$ 99.00This book deals with a new set of triangular orthogonal functions, which evolved from the set of well-known block pulse functions (BPF), a major member of the piecewise constant orthogonal function (PCOF) family. more...

#### Hypergeometric Orthogonal Polynomials and Their q-Analogues

Springer Berlin Heidelberg 2010; US$ 129.00This book classifies all families of orthogonal polynomials satisfying a second-order differential or difference equation with polynomial coefficients, which leads to the families of hypergeometric orthogonal polynomials belonging to the Askey scheme. more...

#### Isomorphisms Between H¹ Spaces

Birkhäuser Basel 2006; US$ 139.00This book gives a thorough and self contained presentation of H¹, its known isomorphic invariants and a complete classification of H¹ on spaces of homogeneous type. The necessary background is developed from scratch. This includes a detailed discussion of the Haar system, together with the operators that can be built from it. Complete proofs are given... more...

#### Modelling and Identification with Rational Orthogonal Basis Functions

Springer London 2005; US$ 209.00Models of dynamical systems are of great importance in almost all fields of science and engineering and specifically in control, signal processing and information science. A model is always only an approximation of a real phenomenon so that having an approximation theory which allows for the analysis of model quality is a substantial concern. The... more...

#### Generation of Multivariate Hermite Interpolating Polynomials

CRC Press 2005; US$ 159.95CONSTRAINED NUMBERS Constrained Coordinate System Generation of the Coordinate System Natural Coordinates Computation of the Number of Elements An Ordering Relation Application to Symbolic Computation of Derivatives HERMITE INTERPOLATING POLYNOMIALS Multivariate Hermite Interpolating Polynomial Generation of the Hermite Interpolating Polynomials Hermite... more...

#### Chebyshev Polynomials

CRC Press 2002; US$ 172.95DEFINITIONS Preliminary Remarks Trigonometric Definitions and Recurrences Shifted Chebyshev Polynomials Chebyshev Polynomials of a Complex Variable BASIC PROPERTIES AND FORMULAE Introduction Chebyshev Polynomial Zeros and Extrema Chebyshev Polynomials and Power of x Evaluation of Chebyshev Sums, Products, Integrals and Derivatives MINIMAX PROPERTIES... more...