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

Springer 2010; US$ 129.00The very classical orthogonal polynomials named after Hermite, Laguerre and Jacobi, satisfy many common properties. For instance, they satisfy a second-order differential equation with polynomial coefficients and they can be expressed in terms of a hypergeometric function. Replacing the differential equation by a second-order difference equation results... more...

#### Generalised Euler-Jacobi Inversion Formula and Asymptotics beyond All Orders

Cambridge University Press 1995; US$ 52.00This work presents exciting new developments in understanding the subdominant exponential terms of asymptotic expansions which have previously been neglected. 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...

#### 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...

#### 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...

#### 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...

#### Isomorphisms Between Hš Spaces

Springer 2006; US$ 139.00This book gives a thorough and self contained presentation of H? its known isomorphic invariants and a complete classification of H? 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 (averaging projections,... more...

#### Orthogonal Rational Functions

Cambridge University Press 1999; US$ 52.00The book generalises the classical theory of orthogonal polynomials to rational functions. 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...