Download or read book Series of Faber Polynomials written by P.K. Suetin and published by CRC Press. This book was released on 1998-03-23 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents some important classical and modern results of the series of Faber polynomials and their applications. Interest in this subject has increased rapidly over the last decade, although the presentation of research has, until now, been confined mainly to journal articles. Applications include theory of functions of complex variables, theory of analytic function approximation, and some aspects of numerical analysis.

Download or read book A Generalization of Faber s Polynomials written by Joseph Leonard Walsh and published by . This book was released on 1958 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book STUDIES IN FABER POLYNOMIALS written by HASSOON SHAKER AMIRI and published by . This book was released on 1961 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Self Organization of Complex Structures written by Frank Schweitzer and published by CRC Press. This book was released on 1997-07-16 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the past twenty years, a broad spectrum of theories and methods have been developed in physics, chemistry and molecular biology to explain structure formation in complex systems. These methods have been applied to many different fields such as economics, sociology and town planning, and this book reflects the interdisciplinary nature of complexity and self-organisation. The main focus is on the emergence of collective phenomena from individual or microscopic interactions. Presents a wide-ranging overview from fundamental aspects of the evolution of complexity, to applications in biology, ecology, sociology, economics, and urban structure formation.

Download or read book Studies on Faber Polynomials written by Joseph Leonard Ullman and published by . This book was released on 1949 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book A Generalization of Faber s Polynomials written by Joseph Leonard Walsh and published by . This book was released on 1958 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Faber Polynomials for Circular Sectors written by J. P. Coleman and published by . This book was released on 1986 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Polynomials Orthogonal over a Region and Bieberbach Polynomials written by Pavel Kondratʹevich Suetin and published by American Mathematical Soc.. This book was released on 1974 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discusses orthogonal polynomials.

Download or read book Weighted Polynomial Approximation and Zeros of Faber Polynomials written by Xisheng Matthew He and published by . This book was released on 1991 with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Zeros of Faber Polynomials Generated by an M star written by Arnoldus Bernardus Jacobus Kuijlaars and published by . This book was released on 1994 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "It is shown that the zeros of the Faber polynomials generated by a regular m-star are located on the m-star. This proves a recent conjecture of J. Bartolomeo and M. He. The proof uses the connection between zeros of Faber polynomials and Chebyshev quadrature formulas."

Download or read book Some Applications of Faber Polynomials to Approximation of Functions of a Complex Variable microform written by Mackenzie, Kenneth and published by National Library of Canada. This book was released on 1970 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Asymptotic Distribution of the Zeros of Faber Polynomials written by Arnoldus Bernardus Jacobus Kuijlaars and published by . This book was released on 1994 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "Using potential theoretic methods and exploiting the connection with eigenvalues of Toeplitz matrices, we investigate the limiting behavior of zeros of Faber polynomials generated by a Laurent series. Our results build upon fundamental work of J.L. Ullman. For example, we show that if E is a compact set with simply connected complement and connected interior whose boundary is either (i) not a piecewise analytic curve or (ii) a piecewise analytic curve but with a singularity other than an outward cusp, then the equilibrium distribution for E is a limit measure of the sequence of normalized zero counting measures for the Faber polynomials associated with E."

Download or read book The Faber Polynomials for Annular Sectors and an Application to the Iterative Solution of Linear Systems of Equations written by Nicholas John Myers and published by . This book was released on 1994 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Chebyshev Type Quadrature and Zeros of Faber Polynomials written by Arnoldus Bernardus Jacobus Kuijlaars and published by . This book was released on 1994 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "To any probability measure [mu] on [-1,1] we associate a sequence of polynomials F[subscript n](z) which are Faber polynomials of a univalent function F(z) on [absolute value of z]> 1. If the zeros of F[subscript n](z) are in [absolute value of z] 1 then there exists a Chebyshev type quadrature formula [formula] which is exact for all polynomials f(t) up to degree n-1. For the Jacobi measures [formula] the function F(z) can be expressed in terms of hypergeometric functions. Using this expression it is proved that the zeros of the associated Faber polynomials are in [absolute value of z]

Download or read book Polynomial expansions of analytic functions written by Ralph P. Boas and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 85 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph deals with the expansion properties, in the complex domain, of sets of polynomials which are defined by generating relations. It thus represents a synthesis of two branches of analysis which have been developing almost independently. On the one hand there has grown up a body of results dealing with the more or less formal prop erties of sets of polynomials which possess simple generating relations. Much of this material is summarized in the Bateman compendia (ERDELYI [1], voi. III, chap. 19) and in TRUESDELL [1]. On the other hand, a problem of fundamental interest in classical analysis is to study the representability of an analytic function f(z) as a series ,Lc,. p,. (z), where {p,. } is a prescribed sequence of functions, and the connections between the function f and the coefficients c,. . BIEBERBACH's mono graph Analytische Fortsetzung (Ergebnisse der Mathematik, new series, no. 3) can be regarded as a study of this problem for the special choice p,. (z) =z", and illustrates the depth and detail which such a specializa tion allows. However, the wealth of available information about other sets of polynomials has seldom been put to work in this connection (the application of generating relations to expansion of functions is not even mentioned in the Bateman compendia). At the other extreme, J. M.

Download or read book Some Applications of Faber Polynomials to Approximation of Functions of a Complex Variable written by Kenneth Mackenzie and published by . This book was released on 1970 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Functional Analysis I written by Yu.I. Lyubich and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: The twentieth-century view of the analysis of functions is dominated by the study of classes of functions. This volume of the Encyclopaedia covers the origins, development and applications of linear functional analysis, explaining along the way how one is led naturally to the modern approach.