On the Analogue for Maximally Convergent Polynomials of Jentzsch's Theorem PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download On the Analogue for Maximally Convergent Polynomials of Jentzsch's Theorem PDF full book. Access full book title On the Analogue for Maximally Convergent Polynomials of Jentzsch's Theorem by Joseph Leonard Walsh. Download full books in PDF and EPUB format.
Author: Joseph Leonard Walsh
Publisher:
ISBN:
Category : Partial sums (Series)
Languages : en
Pages : 48
Get Book Here
Book Description
Although sequences of rational and analytic functions of the complex variable have been studied in some detail [2,3] regarding geometric degree of convergence, and convergent sequences of analytic functions have been basically studied [4] with reference to their zeros, no adequate applications to maximally convergent sequence of polynomials as such have been made. In particular there has been no special study of the analogue of Jentzsch's theorem, that every point of the circle of convergence of a Taylor development is a limit point of zeros of the partial sums. The object of the present paper is to investigate specifically the zeros of maximally convergent sequences of polynomials, including in detail some illuminating special expansions.
Author: Joseph Leonard Walsh
Publisher:
ISBN:
Category : Partial sums (Series)
Languages : en
Pages : 48
Get Book Here
Book Description
Although sequences of rational and analytic functions of the complex variable have been studied in some detail [2,3] regarding geometric degree of convergence, and convergent sequences of analytic functions have been basically studied [4] with reference to their zeros, no adequate applications to maximally convergent sequence of polynomials as such have been made. In particular there has been no special study of the analogue of Jentzsch's theorem, that every point of the circle of convergence of a Taylor development is a limit point of zeros of the partial sums. The object of the present paper is to investigate specifically the zeros of maximally convergent sequences of polynomials, including in detail some illuminating special expansions.
Author: Lloyd N. Trefethen
Publisher: SIAM
ISBN: 1611975948
Category : Mathematics
Languages : en
Pages : 375
Get Book Here
Book Description
This is a textbook on classical polynomial and rational approximation theory for the twenty-first century. Aimed at advanced undergraduates and graduate students across all of applied mathematics, it uses MATLAB to teach the fields most important ideas and results. Approximation Theory and Approximation Practice, Extended Edition differs fundamentally from other works on approximation theory in a number of ways: its emphasis is on topics close to numerical algorithms; concepts are illustrated with Chebfun; and each chapter is a PUBLISHable MATLAB M-file, available online. The book centers on theorems and methods for analytic functions, which appear so often in applications, rather than on functions at the edge of discontinuity with their seductive theoretical challenges. Original sources are cited rather than textbooks, and each item in the bibliography is accompanied by an editorial comment. In addition, each chapter has a collection of exercises, which span a wide range from mathematical theory to Chebfun-based numerical experimentation. This textbook is appropriate for advanced undergraduate or graduate students who have an understanding of numerical analysis and complex analysis. It is also appropriate for seasoned mathematicians who use MATLAB.
Author: Library of Congress. Science and Technology Division
Publisher:
ISBN:
Category : Research
Languages : en
Pages : 1136
Get Book Here
Book Description
Author:
Publisher:
ISBN:
Category : Research
Languages : en
Pages : 1046
Get Book Here
Book Description
Author: Circolo matematico di Palermo
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 488
Get Book Here
Book Description
Author:
Publisher:
ISBN:
Category : Deformations (Mechanics)
Languages : en
Pages : 778
Get Book Here
Book Description
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 614
Get Book Here
Book Description
Author: United States. Air Force. Office of Scientific Research
Publisher:
ISBN:
Category : Research
Languages : en
Pages : 1136
Get Book Here
Book Description
Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 788
Get Book Here
Book Description
Author: United States. Air Force. Office of Aerospace Research
Publisher:
ISBN:
Category : Aeronautics, Military
Languages : en
Pages : 800
Get Book Here
Book Description
