eBook ISBN:  9780821878279 
Product Code:  CONM/236.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9780821878279 
Product Code:  CONM/236.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 

Book DetailsContemporary MathematicsVolume: 236; 1999; 379 ppMSC: Primary 42; 30; 40; Secondary 11; 33; 41
This volume presents the contributions from the international conference held at the University of Missouri at Columbia, marking Professor Lange's 70th birthday and his retirement from the university. The principal purpose of the conference was to focus on continued fractions as a common interdisciplinary theme bridging gaps between a large number of fields—from pure mathematics to mathematical physics and approximation theory.
Evident in this work is the widespread influence of continued fractions in a broad range of areas of mathematics and physics, including number theory, elliptic functions, Padé approximations, orthogonal polynomials, moment problems, frequency analysis, and regularity properties of evolution equations. Different areas of current research are represented. The lectures at the conference and the contributions to this volume reflect the wide range of applicability of continued fractions in mathematics and the applied sciences.
ReadershipGraduate students, research mathematicians, and physicists interested in number theory, approximation theory, and related fields.

Table of Contents

Articles

Richard Askey — Continued fractions and orthogonal polynomials [ MR 1665360 ]

Bruce C. Berndt, YounSeo Choi and SoonYi Kang — The problems submitted by Ramanujan to the Journal of the Indian Mathematical Society [ MR 1665361 ]

B. Bojanov and A. Sri Ranga — Some examples of moment preserving approximation [ MR 1665362 ]

C. F. Bracciali — Relations between certain symmetric strong Stieltjes distributions [ MR 1665363 ]

Adhemar Bultheel, Carlos DíazMendoza, Pablo GonzálezVera and Ramon Orive — Estimates of the rate of convergence for certain quadrature formulas on the halfline [ MR 1665364 ]

Adhemar Bultheel and Pablo GonzálezVera — Wavelets by orthogonal rational kernels [ MR 1665365 ]

Heng Huat Chan and Victor Tan — On the explicit evaluations of the RogersRamanujan continued fraction [ MR 1665366 ]

Dov Chelst — Absence of phase transitions in modified twocomponent plasmas: the analytic theory of continued fractions in statistical mechanics [ MR 1665367 ]

Mourad E. H. Ismail and David R. Masson — Some continued fractions related to elliptic functions [ MR 1665368 ]

William B. Jones and Guoxiang Shen — Asymptotics of Stieltjes continued fraction coefficients and applications to Whittaker functions [ MR 1665369 ]

L. J. Lange — A generalization of Van Vleck’s theorem and more on complex continued fractions [ MR 1665370 ]

Xin Li — Convergence of interpolating Laurent polynomials on an annulus [ MR 1665371 ]

Lisa Lorentzen — Convergence criteria for continued fractions $K(a_n/1)$ based on value sets [ MR 1665372 ]

Olav Njåstad — Strong Stieltjes moment problems [ MR 1665373 ]

Franz Peherstorfer and Robert Steinbauer — Weak asymptotics of orthogonal polynomials on the support of the measure of orthogonality and considerations on functions of the second kind [ MR 1665374 ]

Serge Perrine — Trees of approximation constants [ MR 1665375 ]

Igor Rodnianski — Continued fractions and Schrödinger evolution [ MR 1665376 ]

Walter Van Assche — Multiple orthogonal polynomials, irrationality and transcendence [ MR 1665377 ]

Alfred J. van der Poorten — Reduction of continued fractions of formal power series [ MR 1665378 ]

Haakon Waadeland — Some observations in frequency analysis [ MR 1665379 ]

Franck Wielonsky — Some properties of HermitePadé approximants to $e^z$ [ MR 1665380 ]


RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
 Book Details
 Table of Contents
 Requests
This volume presents the contributions from the international conference held at the University of Missouri at Columbia, marking Professor Lange's 70th birthday and his retirement from the university. The principal purpose of the conference was to focus on continued fractions as a common interdisciplinary theme bridging gaps between a large number of fields—from pure mathematics to mathematical physics and approximation theory.
Evident in this work is the widespread influence of continued fractions in a broad range of areas of mathematics and physics, including number theory, elliptic functions, Padé approximations, orthogonal polynomials, moment problems, frequency analysis, and regularity properties of evolution equations. Different areas of current research are represented. The lectures at the conference and the contributions to this volume reflect the wide range of applicability of continued fractions in mathematics and the applied sciences.
Graduate students, research mathematicians, and physicists interested in number theory, approximation theory, and related fields.

Articles

Richard Askey — Continued fractions and orthogonal polynomials [ MR 1665360 ]

Bruce C. Berndt, YounSeo Choi and SoonYi Kang — The problems submitted by Ramanujan to the Journal of the Indian Mathematical Society [ MR 1665361 ]

B. Bojanov and A. Sri Ranga — Some examples of moment preserving approximation [ MR 1665362 ]

C. F. Bracciali — Relations between certain symmetric strong Stieltjes distributions [ MR 1665363 ]

Adhemar Bultheel, Carlos DíazMendoza, Pablo GonzálezVera and Ramon Orive — Estimates of the rate of convergence for certain quadrature formulas on the halfline [ MR 1665364 ]

Adhemar Bultheel and Pablo GonzálezVera — Wavelets by orthogonal rational kernels [ MR 1665365 ]

Heng Huat Chan and Victor Tan — On the explicit evaluations of the RogersRamanujan continued fraction [ MR 1665366 ]

Dov Chelst — Absence of phase transitions in modified twocomponent plasmas: the analytic theory of continued fractions in statistical mechanics [ MR 1665367 ]

Mourad E. H. Ismail and David R. Masson — Some continued fractions related to elliptic functions [ MR 1665368 ]

William B. Jones and Guoxiang Shen — Asymptotics of Stieltjes continued fraction coefficients and applications to Whittaker functions [ MR 1665369 ]

L. J. Lange — A generalization of Van Vleck’s theorem and more on complex continued fractions [ MR 1665370 ]

Xin Li — Convergence of interpolating Laurent polynomials on an annulus [ MR 1665371 ]

Lisa Lorentzen — Convergence criteria for continued fractions $K(a_n/1)$ based on value sets [ MR 1665372 ]

Olav Njåstad — Strong Stieltjes moment problems [ MR 1665373 ]

Franz Peherstorfer and Robert Steinbauer — Weak asymptotics of orthogonal polynomials on the support of the measure of orthogonality and considerations on functions of the second kind [ MR 1665374 ]

Serge Perrine — Trees of approximation constants [ MR 1665375 ]

Igor Rodnianski — Continued fractions and Schrödinger evolution [ MR 1665376 ]

Walter Van Assche — Multiple orthogonal polynomials, irrationality and transcendence [ MR 1665377 ]

Alfred J. van der Poorten — Reduction of continued fractions of formal power series [ MR 1665378 ]

Haakon Waadeland — Some observations in frequency analysis [ MR 1665379 ]

Franck Wielonsky — Some properties of HermitePadé approximants to $e^z$ [ MR 1665380 ]