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Analytic Theory of Continued Fractions

function theory, covers the theory of equations, matrix theory of continued fractions, bounded analytic functions, and many additional subjects.;

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Continued Fractions

This is an exposition of the analytic theory of continued fractions in the complex domain with emphasis on applications and computational;

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Orthogonal Functions

Oulines an array of recent work on the analytic theory and potential applications of continued fractions, linear functionals, orthogonal;

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Orthogonal Functions

Oulines an array of recent work on the analytic theory and potential applications of continued fractions, linear functionals, orthogonal;

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Continued Fractions with Applications

secondly, senior or graduate students who would like an extensive introduction to the analytic theory of continued fractions. The book contains;

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Continued Fractions and Orthogonal Functions

analytic theory of continued fractions and their application to moment problems and orthogonal sequences of functions.Uniting the research;

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Continued Fractions - Vol 1

Continued Fractions consists of two volumes — Volume 1: Convergence Theory; and Volume 2: Representation of Functions (tentative title;

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Continued Fractions

of the theory of continued functions, a special algorithm that is one of the most important tools in analysis, probability theory, mechanics, and;

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Diophantine Approximation and Dirichlet Series

characterization by Gordon and Hedenmalm. The book is devoted to Diophantine approximation, the analytic theory of Dirichlet series and their composition;

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Diophantine Approximation and Dirichlet Series

characterization by Gordon and Hedenmalm. The book is devoted to Diophantine approximation, the analytic theory of Dirichlet series and their composition;

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Applied And Computational Complex Analysis

Presents applications as well as the basic theory of analytic functions of one or several complex variables. The first volume discusses;

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Continued Fractions and Signal Processing

Besides their well-known value in number theory, continued fractions are also a useful tool in modern numerical applications and computer;

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Selected Topics in the Theory of Divergent Series and of Continued Fractions

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Selected Topics in the Theory of Divergent Series and of Continued Fractions

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Statistical Independence in Probability, Analysis, and Number Theory

functions. The final chapter From Kinetic Theory to Continued Fractions deals with a spectacular application of the ergodic theorems to;

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Orthogonal Polynomials and Continued Fractions

Continued fractions, studied since Ancient Greece, only became a powerful tool in the eighteenth century, in the hands of the great;

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Australian Mathematical Society Lecture Series

Despite their classical nature, continued fractions are a neverending research area, with a body of results accessible enough to suit a;

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Approximation Methods in Science and Engineering

Approximation Methods in Engineering and Science covers fundamental and advanced topics in three areas: Dimensional Analysis, Continued;

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Number Theory with an Emphasis on the Markoff Spectrum

different areas of number theory, highlighting the Markoff spectrum.;Detailing the integration of geometric, algebraic, analytic and arithmetic;

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Diophantine Approximation and Dirichlet Series

This self-contained book will benefit beginners as well as researchers. It is devoted to Diophantine approximation, the analytic theory;

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Number Theory with an Emphasis on the Markoff Spectrum

different areas of number theory, highlighting the Markoff spectrum.;Detailing the integration of geometric, algebraic, analytic and arithmetic;

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Combinatorics, Words and Symbolic Dynamics

, analytic combinatorics, continued fractions and probabilistic models. Each topic is presented in a way that links it to the main themes, but then;

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Quadratic Irrationals

different aspects is lacking. Covering both classical and recent results, this book unifies the theory of continued fractions, quadratic orders;

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Discrete Hamiltonian Systems

This book should be accessible to students who have had a first course in matrix theory. The existence and uniqueness theorem of Chapter 4;

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Singular Differential Equations and Special Functions

most important class of linear differential equations with variable coefficients, that can be analytic functions or have regular or irregular;

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Infinite Ergodic Theory of Numbers

of mathematics, where a variety of strands of research open up. The text explores various concepts in infinite ergodic theory, always using continued;

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Number Theory

This textbook presents an elementary introduction to number theory and its different aspects: approximation of real numbers, irrationality;

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