Contemporary Mathematics 1999; 379 pp; softcover Volume: 236 ISBN10: 0821812009 ISBN13: 9780821812006 List Price: US$95 Member Price: US$76 Order Code: CONM/236
 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 fieldsfrom 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. Readership Graduate students, research mathematicians, and physicists interested in number theory, approximation theory, and related fields. Table of Contents  R. Askey  Continued fractions and orthogonal polynomials
 B. C. Berndt, Y.S. Choi, and S.Y. Kang  The problems submitted by Ramanujan to the Journal of the Indian Mathematical Society
 B. Bojanov and A. S. Ranga  Some examples of moment preserving approximation
 C. F. Bracciali  Relations between certain symmetric strong Stieltjes distributions
 A. Bultheel, C. DíazMendoza, P. GonzálezVera, and R. Orive  Estimates of the rate of convergence for certain quadrature formulas on the halfline
 A. Bultheel and P. GonzálezVera  Wavelets by orthogonal rational kernels
 H. H. Chan and V. Tan  On the explicit evaluations of the RogersRamanujan continued fraction
 D. Chelst  Absence of phase transitions in modified twocomponent plasmas: The analytic theory of continued fractions in statistical mechanics
 M. E. H. Ismail and D. R. Masson  Some continued fractions related to elliptic functions
 W. B. Jones and G. Shen  Asymptotics of Stieltjes continued fraction coefficients and applications to Whittaker functions
 L. J. Lange  A generalization of Van Vleck's theorem and more on complex continued fractions
 X. Li  Convergence of interpolating Laurent polynomials on an annulus
 L. Lorentzen  Convergence criteria for continued fractions K\((a_n/1)\) based on value sets
 O. Njåstad  Strong Stieltjes moment problems
 F. Peherstorfer and R. Steinbauer  Weak asymptotics of orthogonal polynomials on the support of the measure of orthogonality and considerations on functions of the second kind
 S. Perrine  Trees of approximation constants
 I. Rodnianski  Continued fractions and Schrödinger evolution
 W. Van Assche  Multiple orthogonal polynomials, irrationality and transcendence
 A. J. van der Poorten  Reduction of continued fractions of formal power series
 H. Waadeland  Some observations in frequency analysis
 F. Wielonsky  Some properties of HermitePadé approximants to \(e^z\)
