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in the Analytic Theory of Continued Fractions
Published each Summer by Mesa State College, Grand Junction, CO, 81502, USA. Previously published by the University of Southern Colorado with former managing editor John Gill (University of Southern Colorado and European editor John H. McCabe (University of St. Andrews). Submission Deadlines for Volume XI: Research Notes and Expository Papers -- July 1, 2003 Abstracts, Progress Reports, Book Reviews,
etc. -- July 1, 2003
Description & Information for Authors Communications provides an international forum for reporting and discussing developments in the analytic theory of continued fractions and closely related topics. Pade approximants, orthogonal polynomials, recurrence relations, moments, linear fractional transformations, and generalizations of classical continued fractions are but a few examples of associated research areas within the scope of the publication. Abstracts, reviews, and papers that show connections with continued fraction theory are especially welcome, although this not a requirement for acceptance and publication. The goals of Communications are twofold: first, to provide a convenient and central exchange of information concerning specific research results, both current and past, in those subjects covered by the journal; second , to provide overviews of pertinent areas of activity through expository articles describing the evolution of theory and/or its implementation in applications. Copies of the journal will be made available to those participating in the exchange and to several research centers. An important objective of Communications is to establish a comprehensive collection of abstracts and reviews of published (even unpublished) works that lie within the scope of the journal. Investigators are urged to submit abstracts of their research papers, as well as selected reviews of the works of others. Information on preparation of abstracts/reviews will be found in sections and format example page on this web site. There is no limit on the number of abstracts/reviews an author may submit. In the case of multiple authorship the first abstract/review of a paper received will be the one published. Investigators who wish to inform others of ongoing work may submit progress reports. Investigators having a good grasp of historical development within their areas of research or are familiar with external applications of the analytic theory of continued fractions or closely related topics are invited to submit expository articles. Short research manuscripts and articles suitable for undergraduate/graduate instruction are welcome, as well as reviews of books and significant papers that lie within the scope of the journal. In addition, the editors encourage the submission of historical notes relating to pertinent topics. Expository Papers. This section contains original articles providing overviews of research areas within the scope of the journal, or discussing historical evolution in these areas. Manuscripts describing connections with other branches of mathematics or applications in external disciplines are also welcome. Prospective authors are asked to communicate with one of the editors before beginning the preparation of an article. All submissions will be reviewed by the editors for appropriateness of topic. However, they will not be refereed in the traditional sense, and therefore it is essential that authors take ultimate responsibility for the integrity, accuracy and originality of the material they submit. Papers appearing in this section should not appear elsewhere. Research Notes. This section contains original commentaries and brief research reports (which should include proofs). Articles must lie within the subject scope of the publication and should, in general, be short. Research Notes include, but are not restricted to, commentaries on specific topics of investigation, derivation of new theory or alternate proofs of existing theory, examples, counterexamples, and conjectures. Diversity of thought beyond that normally found in a traditional research journal is encouraged. For example, discussions of tentative conclusions reached through deductive arguments involving clearly stated and reasonable conjectures are welcome. Short papers that offer novel perspectives and/or directions are appropriate, as well. All submissions will be reviewed by the editors for appropriateness of topic. However, they will not be refereed in the traditional sense, and therefore it is essential that authors take ultimate responsibility for the integrity, accuracy and originality of the material they submit. Papers appearing in this section should not appear elsewhere. Historical Notes/Classroom Notes. These sections are devoted to historical information or material that would enhance undergraduate or graduate teaching while promoting the topics represented by this journal. Abstracts/Progress Reports/Reviews. This section contains abstracts and reviews, generally not longer than two pages (as described below), of papers that appear (or will appear) in other journals. Abstracts (or summaries), no more than five pages long, of PhD theses and unpublished papers are also welcome, as are short progress reports of current research. Publication information on complete manuscripts must be provided, either at the time of submission, or later, when known. Authors should not submit abstracts appearing in other journals to which copyrights have been assigned. In these instances, new abstracts that do not violate copyright agreements should be written. In general, it is appropriate to compose abstracts that do not exceed one tenth the length of the article, and contain no proofs. Lengthier abstracts are welcome if there are no copyright infringements. Book Descriptions and Reviews, Bibliographies, and Announcements. Included in this section are book reviews or descriptions, bibliographies, abstract updates, conference announcements, personal information, letters to the editor, errata, and other pertinent communications. Expository Papers and Research Notes will be made available to Mathematical Reviews. All material submitted to Communications must be in English and in camera ready form, typewritten or computer printed, with the total printed area on each page measuring no more than 6 inches by 9.5 inches. Pages will be reduced to approximately seventy percent of original size during the photocopying process; consequently, the verbal portion of the original manuscript should be in standard size font. Figures should be printed or drawn in high contrast black ink. An example demonstrating the recommended format for submissions is given below (click here to see this format). Authors should mail two copies of all submitted
articles to one of the three editors, and should indicate to which
sections they are directed. Please mail paper manuscripts rather
than submitting your material electronically. Research Notes and
Expository papers should be submitted by March 15th, and Abstracts, Progress
Reports, Book Reviews, etc. by April 15th, in order to insure prompt publication.
Explanations: 1 -or REVIEW or PROGRESS
REPORT. Use heading only in these cases. 2 - Provide this information
for abstracts only. 3- Provide this information for all submissions
over two pages long. 4 - Enter reviewer's name if the submission is a REVIEW.
5- This is optional on ABSTRACTS, REVIEWS, and PROGRESS REPORTS, but must
be included in RESEARCH NOTES and EXPOSITORY PAPERS.
Table of Contents from Volume X, Summer 2002 Research Notes Some Consequences of Symmetry in the Coefficients of Two
Series when Constructing Continued Fractions that Correspond to the Two Series On Semiclassical Linear Functionals: The Symmetric Companion On the Computation of Gauss-type and Szego Quadrature Formulas by the Levinson
and the Split Levinson Algorithm Repeated Thiele Fractions Interpolation Function of Non-Thiele Type Continued Fractions A Limit Theorem for Approximants of PPC-Fractions used in Frequency Analysis
Abstracts The Convergence Regions of the Branched Continued Fractions Special Form Orthogonal Rational Functions and Continued Fractions Determinacy of a Rational Moment Problem A Rational Stieltjes Moment Problem Orthogonal Laurent Polynomials and Quadrature Formulas for Unbounded Intervals:
I. Gauss-type Formulas Orthogonal Bases for Discrete Time System Identification Szego Quadrature Formulas for Certain Jacobi-type Weight Functions Zeros of Sobolev Orthogonal Polynomials of Hermite Type Pal-type Birkhoff Interpolation on Nonuniformly Distributed Points Birkhoff Interpolation on Nonuniformly Distributed Nodes An Interpolation Algorithm for Orthogonal Rational Functions Ratio Asymptotics for Orthogonal Rational Functions on the Interval Rational Basis Functions in Functions in Discrete Least Squares Approximation State Space Representation for Arbitrary Orthogonal Rational Functions Table of Contents from Volume IX, Summer 2001
Research Notes Computation of the Circumference of an Ellipse Orthogonal Polynomials and Cubic Polynomial Mappings II: The Positive Definite
Case Some New Aspects of Thiele Interpolation Continued
Fraction A Special Toeplitz Determinant On a Derivation of the Differential Equation for some Hypergeometric Functions On the Convergence of Pade Approximants for Heine's Series-II On Discrepancies Between Solutions to Discrete Models for Hyperbolic Systems
of Conservation Laws: Continued Fractions Approach Progress Reports Regularity of Some 'Incomplete' Pal-type Interpolation Problems Abstracts Convergence Criteria for Branched Continued Fractions with Nonnegative Components On the Convergence of Branched Continued Fractions Interpolation on Non-uniformly Distributed Nodes Algebraic and Spectral Properties of General Toeplitz Matrices Orthogonal Rational Functions and lnterpolatory Product Rules on the Unit
Circle Elements of a Theory of Orthogonal Rational Functions Robust Rational Approximation for Identification The Multidimensional g-fraction Corresponding to the Formal N-multiple Power
Series Orthogonal Rational Functions on an Interval Table of Contents from Volume VIII, Summer 2000 Reseach Notes Certain Related Strong Measures and
the Associated Orthogonal L-polyitomials
Monotonicity of Multi-point Pade Approximants
A Comparison of Two Definitions for
Orthogonal Laurent Polynomials
Numerical Estimation of the Herglotz-Riesz Transform by Using Two-point Pade Approximants Leyla Daruis and Pablo Conzglez-Vera On Newton-Thiele-Like Interpolating
Formula
More Tales About Tails?
Orthogonal Polynomials and Cubic Polynomial
Wappings I
Canonical and Extremal Solutioms of
Strong Moment Problems
An Old Tale About an Uninteresting Zero
On the Convergence of Pade Approximants
for Heine's Series-I
The Indistinct Continuous Fractions
A Relation Between Orthogonal Rational
Functions on the Unit Circle and the Interval [-1, 1]
Abstracts The Estimates of Truncation Error for
Multidimensional g-Fractions
Natural Solutions of Indeterminate Strong
Stieltjes Moment Problems Derived
A Class of Indeterminate Strong Stieltjes
Moment Problems with Discrete
Birkhoff Interpolation on Perturbed
Roots of Unity on the Unit Circle
Birkhoff Interpolation on Non-Uniforndy
Distributed Roots of Unity
Birkhoff Interpolation on Non-Uniformly
Distributed Roots of Unity II
Birkhoff Interpolation on Unity and
on Mobius Transform of the Roots of Unity
Minimizing the Uncertainty Product with
Composite Signals
A Connection Between Quadrature Formulas
on the Unit Circle and the
Interpolation by Rational Functions
with Nodes on the Unit Circle
Rational Approximation in Linear Systems
and Control
Boundary Asymptotics for Orthogonal
Rational Functions on the Unit Circle
Orthogonal Laurent Polynomials and Strong
Moment Theory: A Survey
A Time-Frequency Entropy Measure of
Uncertainty Applied to Dolphin Echolocation Signals
Lens-Shaped Regions for Strong Stieltjes
Moment Problems
Nevanlinna Matrices for the Strong Stieltjes
Moment Problem
Strong Stieltjes Moment Problems
About the Construction of Two-dimension
and Three-dimension Interpolating Continued Fractions
State-Space Realization and Orthogonal
Rational Functions
Bernstein Equiconvergence and Fej6r
npe Theorems for General Rational Fourier Series
Orthogonal Rational Functions and Frequency
Analysis. An Example
Table of Contents from Volume VI Communications in the Analytic Theory of Continued
Fractions
Table of Contents: Description of the Journal Expository Paper Using Mathematica to Study Orthogonal L-Polynomials Research Notes A Note on Para-orthogonal Laurent Polynomials On the "Fork" Property for Two-dimensional Continued
Fractions The Transformation of Parameter Formal Decomposition for
Solutions of Linear Differential Equations in Converging Continued Ritz-fractions On the Positive J-fraction Solutions of Linear
Functional Equations Two-variable Polynomials and Related Continued
Fractions Classroom Notes A Note on Rational Interpolation Computing the Coefficients of Some Continued
Fractions The Analogy Between Periodic Continued Fractions & Geometric
Series Abstracts The Pade & Table and its Relation to Certain
Numerical Algorithms Asymptotic Properties of Zeros of Orthogonal
Rational Functions Generalized Szeg6 Theory in Frequency Analysis Some Results about Numerical Quadrature on the
Unit Circle
Orthogonal Rational Functions & Modified
Approximants Rates of Convergence of Multipoint Rational Approximations and
Quadrature Formulas on the Unit Circle On the Convergence of Multi-point Pade Type Approximants and
Quadrature Formulas Associated with the Unit Circle Translation of the Russian Paper "Orthogonal
Systems of Rational Functions on the Unit Circle" Quadrature on the Half-line and Two-point Pade
Approximants to Stieltjes Functions. Part 1: Algebraic Aspects Quadrature on the Half-line and Two-point Pade
Approximants to Stieltjes Functions. Part 11: Convergence Quadrature on the Half-line and Two-point Pade
Approximants to Stieltjes Functions. Part III: The Unbounded Case A Theorem on Toeplitz Determinants with Elements Containing
Tchebycheff-polynomials of the First Kind Progress Report A Conjecture of Schoenberg
Table of Contents from Volume V Communications in the Analytic Theory of Continued
Fractions
Table of Contents: Description of the Journal Expository Paper Proving Convergence Results for Periodic Continued
Fractions Using Linear Algebra Research Notes On Links Between Continued Fractions and Modified Numerical
Triangles Szego Polynomials in Frequency Analysis: Observations on
Speed of Convergence Historical Note Asymptotic Series and continued Fractions: Stieltjes and
After Abstracts / Progress Reports / Reviews Convergence of Modified Aproximants Associated
with Orthogonal Rational Functions Convergence of Orthogonal Rational Functions Favard Theorem for Reproducing Kernels Continuous Sobolev-Laguerre Orthogonal Polynomials & Their
Generalized Continued Fractions A New Definition of Entropy: Explicit Values
for Negative Exponential Distributions Dynamics of Composition Sequences of Bilinear & Other
Transformations A Natural Continuous Interpolating Structure
for Modified & Traditional Continued Fractions A Note on Bounds for the Derivatives of Continued Fractions Bounds on Remainder Terms in Szego Quadrature
Classical & Strong Moment Problems Extremal Solutions of the Strong Stieltjes Moment Problem Solutions of the Strong Hamburger Moment Problem Solutions of the Strong Stieltjes Moment Problem Fractional Analytical Methods for Solving 111-Posed
Problems & Image Deblurring The Ill-Posed Operator & Rational Algorithms
of
Normal Solutions of Fredholm Integral Equations of the First Kind Nonperturbative Solutions of Nonlinear Differential Equations
using Continued Fractions From Matrix to Vector Pad6 Approximants Clifford Algebras and Vector-Valued Rational
Forms I Clifford Algebras and Vector-Valued Rational
Forms 11 On the Algebraic Foundations of the Vector e-Algorithm Vector-Valued Rational Forms Numerical Triangle, Fibonacci Sequence &
Ladder Networks: Some Further Results Modified Numerical Triangle & the Fibonacci
Sequence Some Continued Fractions with Point-Circle Twin Element
Regions Probability Distribution of Continued Fraction
Values: An Invitation & an Example Reflections on Reflection Coefficients A Worpitzsky Boundary Theorem for N-Branched Continued
Fractions
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