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Analytic Theory of Polynomials

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Release : 2002
Genre : Language Arts & Disciplines
Kind : eBook
Book Rating : 938/5 ( reviews)

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Book Synopsis Analytic Theory of Polynomials by : Qazi Ibadur Rahman

Download or read book Analytic Theory of Polynomials written by Qazi Ibadur Rahman. This book was released on 2002. Available in PDF, EPUB and Kindle. Book excerpt: Presents easy to understand proofs of same of the most difficult results about polynomials demonstrated by means of applications

Analytic Theory of the Harish-Chandra C-Function

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Release : 2006-11-15
Genre : Mathematics
Kind : eBook
Book Rating : 989/5 ( reviews)

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Book Synopsis Analytic Theory of the Harish-Chandra C-Function by : L. Cohn

Download or read book Analytic Theory of the Harish-Chandra C-Function written by L. Cohn. This book was released on 2006-11-15. Available in PDF, EPUB and Kindle. Book excerpt:

Progress in Approximation Theory and Applicable Complex Analysis

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Release : 2017-04-03
Genre : Mathematics
Kind : eBook
Book Rating : 42X/5 ( reviews)

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Book Synopsis Progress in Approximation Theory and Applicable Complex Analysis by : Narendra Kumar Govil

Download or read book Progress in Approximation Theory and Applicable Complex Analysis written by Narendra Kumar Govil. This book was released on 2017-04-03. Available in PDF, EPUB and Kindle. Book excerpt: Current and historical research methods in approximation theory are presented in this book beginning with the 1800s and following the evolution of approximation theory via the refinement and extension of classical methods and ending with recent techniques and methodologies. Graduate students, postdocs, and researchers in mathematics, specifically those working in the theory of functions, approximation theory, geometric function theory, and optimization will find new insights as well as a guide to advanced topics. The chapters in this book are grouped into four themes; the first, polynomials (Chapters 1 –8), includes inequalities for polynomials and rational functions, orthogonal polynomials, and location of zeros. The second, inequalities and extremal problems are discussed in Chapters 9 –13. The third, approximation of functions, involves the approximants being polynomials, rational functions, and other types of functions and are covered in Chapters 14 –19. The last theme, quadrature, cubature and applications, comprises the final three chapters and includes an article coauthored by Rahman. This volume serves as a memorial volume to commemorate the distinguished career of Qazi Ibadur Rahman (1934–2013) of the Université de Montréal. Rahman was considered by his peers as one of the prominent experts in analytic theory of polynomials and entire functions. The novelty of his work lies in his profound abilities and skills in applying techniques from other areas of mathematics, such as optimization theory and variational principles, to obtain final answers to countless open problems.

Polynomial expansions of analytic functions

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Release : 2013-06-29
Genre : Mathematics
Kind : eBook
Book Rating : 701/5 ( reviews)

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Book Synopsis Polynomial expansions of analytic functions by : Ralph P. Boas

Download or read book Polynomial expansions of analytic functions written by Ralph P. Boas. This book was released on 2013-06-29. 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.

Analytic Number Theory, Approximation Theory, and Special Functions

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Release : 2014-07-08
Genre : Mathematics
Kind : eBook
Book Rating : 58X/5 ( reviews)

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Book Synopsis Analytic Number Theory, Approximation Theory, and Special Functions by : Gradimir V. Milovanović

Download or read book Analytic Number Theory, Approximation Theory, and Special Functions written by Gradimir V. Milovanović. This book was released on 2014-07-08. Available in PDF, EPUB and Kindle. Book excerpt: This book, in honor of Hari M. Srivastava, discusses essential developments in mathematical research in a variety of problems. It contains thirty-five articles, written by eminent scientists from the international mathematical community, including both research and survey works. Subjects covered include analytic number theory, combinatorics, special sequences of numbers and polynomials, analytic inequalities and applications, approximation of functions and quadratures, orthogonality and special and complex functions. The mathematical results and open problems discussed in this book are presented in a simple and self-contained manner. The book contains an overview of old and new results, methods, and theories toward the solution of longstanding problems in a wide scientific field, as well as new results in rapidly progressing areas of research. The book will be useful for researchers and graduate students in the fields of mathematics, physics and other computational and applied sciences.

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