ABSTRACT

"Oulines an array of recent work on the analytic theory and potential applications of continued fractions, linear functionals, orthogonal functions, moment theory, and integral transforms. Describes links between continued fractions. Pade approximation, special functions, and Gaussian quadrature."

chapter |14 pages

Chebyshev–Laurent Polynomials and Weighted Approximation

ByEliana X. L. de Andrade, Dimitar K. Dimitrov

chapter |16 pages

Natural Solutions of Indeterminate Strong Stieltjes Moment Problems Derived from PC-Fractions

ByCatherine M. Bonan-Hamada, William B. Jones, Olav Njåstad

chapter |25 pages

A Class of Indeterminate Strong Stieltjes Moment Problems with Discrete Distributions

ByCatherine M. Bonan-Hamada, William B. Jones, W. J. Thron, Olav Njåstad

chapter |11 pages

Symmetric Orthogonal L-Polynomials in the Complex Plane

ByC. F. Bracciali, J. M. V. Capela, A. Sri Ranga

chapter |32 pages

Continued Fractions and Orthogonal Rational Functions

ByAdhemar Bultheel, Pablo González-Vera, Erik Hendriksen, Olav Njåstad

chapter |10 pages

Interpolation of Nevanlinna Functions by Rationals with Poles on the Ral Line

ByAdhemar Bultheel, Pablo González-Vera, Erik Hendriksen, Olav Njåstad

chapter |31 pages

Symmetric Orthogonal Laurent Polynomials

ByLyle Cochran, S. Clement Cooper

chapter |8 pages

Interpolating Laurent Polynomials

ByS. Clement Cooper, Philip E. Gustafson

chapter |28 pages

Computation of the Binet and Gamma Functions by Stieltjes Continued Fractions

ByCathleen M. Craviotto, William B. Jones, Nancy J. Wyshinski

chapter |8 pages

Formulas for the Moments of Some Strong Moment Distributions

ByBrian A. Hagler

chapter |22 pages

Orthogonal Laurent Polynomials of Jacobi, Hermite, and Laguerre Types

ByBrian A. Hagler, William B. Jone, W. J. Thron

chapter |48 pages

Regular Strong Hamburger Moment Problem

ByWilliam B. Jones, Guoxiang Shen

chapter |16 pages

Orthogonal Polynomials Associated with a Nondiagonal Sobolev Inner Product with Polynomial Coefficients

ByMaría Álvarez de Morales, Teresa E. Pérez, Miguel A. Piñar, André Ronveaux

chapter |16 pages

Remarks on Canonical Solutions of Strong Moment Problems

ByOlav Njåstad

chapter |11 pages

Sobolev Orthogonality and Properties of the Generalized Laguerre Polynomials

ByTeresa E. Pérez, Miguel A. Piñar

chapter |12 pages

A Combination of Two Methods in Frequency Analysis: The R(N)-Process

ByVigdis Petersen

chapter |10 pages

Zeros of Szegö Polynomials Used in Frequency Analysis

ByVigdis Petersen