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# Orthogonal functions, moment theory, and continued fractions theory and applications

DOI link for Orthogonal functions, moment theory, and continued fractions theory and applications

Orthogonal functions, moment theory, and continued fractions theory and applications book

Moment Theory and Continued Fractions

# Orthogonal functions, moment theory, and continued fractions theory and applications

DOI link for Orthogonal functions, moment theory, and continued fractions theory and applications

Orthogonal functions, moment theory, and continued fractions theory and applications book

Moment Theory and Continued Fractions

Edited ByWilliam B. Jones, A. Sri Ranga

Edition 1st Edition

First Published 1998

eBook Published 23 December 2020

Pub. Location Boca Raton

Imprint CRC Press

Pages 440

eBook ISBN 9781003072126

Subjects Computer Science

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#### Get Citation

Jones, W.B., & Sri Ranga, A. (Eds.). (1998). Orthogonal functions, moment theory, and continued fractions theory and applications: Moment Theory and Continued Fractions (1st ed.). CRC Press. https://doi.org/10.1201/9781003072126

## 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."

## TABLE OF CONTENTS

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 |28 pages

#### Computation of the Binet and Gamma Functions by Stieltjes Continued Fractions

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

chapter |22 pages

#### Orthogonal Laurent Polynomials of Jacobi, Hermite, and Laguerre Types

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

chapter |18 pages

#### Asymptotic Behavior of the Continued Fraction Coefficients of a Class of Stieltjes Transforms Including the Binet Function

ByWilliam B. Jones, Walter Van Assche

chapter |52 pages

#### Uniformity and Speed of Convergence of Complex Continued Fractions K(an /1)

ByL. J. Lange

chapter |15 pages

#### Separation Theorem of Chebyshev-Markov–Stieltjes Type for Laurent Polynomials Orthogonal on (0, ∞)

ByXin Li

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 |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 |8 pages

#### Some Probabilistic Remarks on the Boundary Version of Worpitzky’s Theorem

ByHaakon Waadeland