Contains the proceedings of a June 1996 research conference/workshop held at Campinas, Sao Paulo, Brazil. The 21 contributions outline an array of recent work on continued fractions, linear functionals, moment theory, and integral transforms. Topics explored include: the asymptotic behavior of continued fraction coefficients for the Binet and gamma functions; new results on orthogonal Laurent polynomials; special functions in the complex domain using continued fractions; use of the Freud conjecture to analyze the coefficients of Stieltjes continued fractions; and the use of Szego polynomials and their application to frequency analysis. Annotation c. by Book News, Inc., Portland, Or.
Preface v Contributors ix Participants xi Chebyshev-Laurent Polynomials and Weighted Approximation 1(14) Eliana X. L. de Andrade Dimitar K. Dimitrov Natural Solutions of Indeterminate Strong Stieltjes Moment Problems Derived from PC-Fractions 15(16) Catherine M. Bonan-Hamada William B. Jones Olav Njastad A Class of Indeterminate Strong Stieltjes Moment Problems with Discrete Distributions 31(26) Catherine M. Bonan-Hamada William B. Jones Olav Njastad W. J. Thron Symmetric Orthogonal L-Polynomials in the Complex Plane 57(12) C. F. Bracciali J. M. V. Capela A. Sri Ranga Continued Fractions and Orthogonal Rational Functions 69(32) Adhemar Bultheel Pablo Gonzalez-Vera Erik Hendriksen Olav Njastad Interpolation of Nevanlinna Functions by Rationals with Poles on the Ral Line 101(10) Adhemar Bultheel Pablo Gonzalez-Vera Erik Hendriksen Olav Njastad Symmetric Orthogonal Laurent Polynomials 111(32) Lyle Cochran S. Clement Cooper Interpolating Laurent Polynomials 143(8) S. Clement Cooper Philip E. Gustafson Computation of the Binet and Gamma Functions by Stieltjes Continued Fractions 151(28) Cathleen M. Craviotto William B. Jones Nancy J. Wyshinski Formulas for the Moments of Some Strong Moment Distributions 179(8) Brian A. Hagler Orthogonal Laurent Polynomials of Jacobi, Hermite, and Laguerre Types 187(22) Brian A. Hagler William B. Jones W. J. Thron Regular Strong Hamburger Moment Problems 209(48) William B. Jones Guoxiang Shen Asymptotic Behavior of the Continued Fraction Coefficients of a Class of Stieltjes Transforms Including the Binet Function 257(18) William B. Jones Walter Van Assche Uniformity and Speed of Convergence of Complex Continued Fractions K(a+n/1). 275(52) L. J. Lange Separation Theorem of Chebyshev-Markov-Stieltjes Type for Laurent Polynomials Orthogonal on (0,+) 327(16) Xin Li Orthogonal Polynomials Associated with a Nondiagonal Sobolev Inner Product with Polynomial Coefficients 343(16) Maria Alvarez de Morales Teresa E. Perez Miguel A. Pinar Adre Ronveaux Remarks on Canonical Solutions of Strong Moment Problems 359(16) Olav Njastad Sobolev Orthogonality and Properties of the Generalized Laguerre Polynomials 375(12) Teresa E. Perez Miguel A. Pinar A Combination of Two Methods in Frequency Analysis: The R(N)-Process 387(12) Vigdis Petersen Zeros of Szego Polynomials Used in Frequency Analysis 399(10) Vigdis Petersen Some Probabilistic Remarks on the Boundary Version of Worpitzkys Theorem 409 Haakon Waadeland
WILLIAM B. JONES is Professor Emeritus of Mathematics at the University of Colorado. He is the author or coauthor of more than 190 research papers, abstracts, and invited lectures. Dr. Jones is a member of the American Mathematical Society, the Mathematical Association of America, the Society for Industrial and Applied Mathematics, and the American Association of University Professors. He received the B.A. degree (1953) from Jacksonville State University, Alabama, and the M.A. (1955) and Ph.D. (1963) degrees from Vanderbilt University, Nashville, Tennessee. A. SRI RANGA is Professor of Numerical Analysis in the Departamento de Ciencias de Computa<;:ao e Estatfstica, Instituto de Biociencias, Letras e Ciencias Exatas, Universidade Estadual Paulista, in Sao Jose do Rio Preto, Sao Paulo, Brazil. He is a member of the Sociedade Brasileira de Matematica Aplicada e Computacinal and the American Mathematical Society. Dr. Sri Ranga received the Ph.D. degree (1984) from the University of St. Andrews, Scotland, and the Livre Docencia degree (1991) from the Universidade de Sao Paulo, in Sao Carlos, Sao Paulo, Brazil.
