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#### 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...

#### 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$ 172.95Chebyshev polynomials crop up in virtually every area of numerical analysis, and they hold particular importance in recent advances in subjects such as orthogonal polynomials, polynomial approximation, numerical integration, and spectral methods. Yet no book dedicated to Chebyshev polynomials has been published since 1990, and even that work focused... more...

#### Generation of Multivariate Hermite Interpolating Polynomials

CRC Press 2005; US$ 159.95Generation of Multivariate Hermite Interpolating Polynomials advances the study of approximate solutions to partial differential equations by presenting a novel approach that employs Hermite interpolating polynomials and bysupplying algorithms useful in applying this approach. Organized into three sections, the book begins with a thorough examination... more...

#### Isomorphisms Between H¹ Spaces

Birkhäuser Basel 2006; US$ 149.00This 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...

#### 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...