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Author : A. Edrei
Publisher : Springer
ISBN 13 : 3540400400
Total Pages : 124 pages
Book Rating : 4.5/5 (44 download)
Download or read book Zeros of Sections of Power Series written by A. Edrei and published by Springer. This book was released on 2006-11-15 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A. Edrei
Publisher :
ISBN 13 : 9783662176269
Total Pages : 128 pages
Book Rating : 4.1/5 (762 download)
Download or read book Zeros of Sections of Power Series written by A. Edrei and published by . This book was released on 2014-01-15 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Antonio R. Vargas
Publisher :
ISBN 13 :
Total Pages : 124 pages
Book Rating : 4.:/5 (878 download)
Download or read book Zeros of Sections of Some Power Series written by Antonio R. Vargas and published by . This book was released on 2012 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: ABSTRACT: For a power series which converges in some neighborhood of the origin in the complex plane, the zeros of its partial sums often behave in a controlled manner. We give an overview of some of the major results in the study of this phenomenon in the past century, focusing on recent developments which build on the theme of asymptotic analysis. Inspired by this work, we study the asymptotic behavior of the zeros of partial sums of power series for entire functions defined by exponential integrals of a certain type. Most of the zeros of the n'th partial sum travel outwards from the origin at a rate comparable to n, so we rescale the variable by n and explicitly calculate the limit curves of these normalized zeros. We discover that the zeros' asymptotic behavior depends on the order of the critical points of the integrand in the aforementioned exponential integral.
Author : J. D. Buckholtz
Publisher :
ISBN 13 :
Total Pages : 21 pages
Book Rating : 4.:/5 (227 download)
Download or read book Power Series Whose Sections Have Zeros of Large Modulus written by J. D. Buckholtz and published by . This book was released on 1963 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Victor P. Havin
Publisher : Birkhäuser
ISBN 13 : 3034883781
Total Pages : 407 pages
Book Rating : 4.0/5 (348 download)
Download or read book Complex Analysis, Operators, and Related Topics written by Victor P. Havin and published by Birkhäuser. This book was released on 2012-12-06 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is devoted to some topical problems and various applications of operator theory and its interplay with modern complex analysis. 30 carefully selected surveys and research papers are united by the "operator theoretic ideology" and systematic use of modern function theoretical techniques.
Author : K. Kiyek
Publisher : Springer Science & Business Media
ISBN 13 : 1402020295
Total Pages : 506 pages
Book Rating : 4.4/5 (2 download)
Download or read book Resolution of Curve and Surface Singularities in Characteristic Zero written by K. Kiyek and published by Springer Science & Business Media. This book was released on 2012-09-11 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Curves The Point of View of Max Noether Probably the oldest references to the problem of resolution of singularities are found in Max Noether's works on plane curves [cf. [148], [149]]. And probably the origin of the problem was to have a formula to compute the genus of a plane curve. The genus is the most useful birational invariant of a curve in classical projective geometry. It was long known that, for a plane curve of degree n having l m ordinary singular points with respective multiplicities ri, i E {1, . . . , m}, the genus p of the curve is given by the formula = (n - l)(n - 2) _ ~ "r. (r. _ 1) P 2 2 L. . ,. •• . Of course, the problem now arises: how to compute the genus of a plane curve having some non-ordinary singularities. This leads to the natural question: can we birationally transform any (singular) plane curve into another one having only ordinary singularities? The answer is positive. Let us give a flavor (without proofs) 2 on how Noether did it • To solve the problem, it is enough to consider a special kind of Cremona trans formations, namely quadratic transformations of the projective plane. Let ~ be a linear system of conics with three non-collinear base points r = {Ao, AI, A }, 2 and take a projective frame of the type {Ao, AI, A ; U}.
Author : Edwin Herman
Publisher :
ISBN 13 : 9781947172838
Total Pages : 0 pages
Book Rating : 4.1/5 (728 download)
Download or read book Calculus Volume 3 written by Edwin Herman and published by . This book was released on 2016-03-30 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 3 covers parametric equations and polar coordinates, vectors, functions of several variables, multiple integration, and second-order differential equations.
Author : Vladimir V. Andrievskii
Publisher : Springer Science & Business Media
ISBN 13 : 1475749996
Total Pages : 444 pages
Book Rating : 4.4/5 (757 download)
Download or read book Discrepancy of Signed Measures and Polynomial Approximation written by Vladimir V. Andrievskii and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: A concise outline of the basic facts of potential theory and quasiconformal mappings makes this book an ideal introduction for non-experts who want to get an idea of applications of potential theory and geometric function theory in various fields of construction analysis.
Author : Shin-ichi Izumi
Publisher :
ISBN 13 :
Total Pages : 3 pages
Book Rating : 4.:/5 (963 download)
Download or read book On the Distribution of the Zero Points of Sections of a Power Series written by Shin-ichi Izumi and published by . This book was released on 1927* with total page 3 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jacob Korevaar
Publisher : American Mathematical Soc.
ISBN 13 : 0821814117
Total Pages : 562 pages
Book Rating : 4.8/5 (218 download)
Download or read book Entire Functions and Related Parts of Analysis written by Jacob Korevaar and published by American Mathematical Soc.. This book was released on 1968-12-31 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Chung-Chun Yang
Publisher : American Mathematical Soc.
ISBN 13 : 0821850253
Total Pages : 266 pages
Book Rating : 4.8/5 (218 download)
Download or read book Value Distribution Theory and Its Applications written by Chung-Chun Yang and published by American Mathematical Soc.. This book was released on 1983 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A. A. Ashour
Publisher : World Scientific
ISBN 13 : 9812810242
Total Pages : 412 pages
Book Rating : 4.8/5 (128 download)
Download or read book Mathematics and the 21st Century written by A. A. Ashour and published by World Scientific. This book was released on 2001 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Conference on "Mathematics and the 21st Century" was held in Cairo, Egypt during the period 15-20 January 2000. The conference's sessions consisted of plenary lectures and topical sessions. Some of the plenary lectures covered general fields such as: rewriting the history of mathematics; education of mathematics; relation between mathematics and sciences; and mathematical aspects of transportation.
Author : Enrique Artal-Bartolo
Publisher : American Mathematical Soc.
ISBN 13 : 9780821865637
Total Pages : 100 pages
Book Rating : 4.8/5 (656 download)
Download or read book Quasi-Ordinary Power Series and Their Zeta Functions written by Enrique Artal-Bartolo and published by American Mathematical Soc.. This book was released on 2005-10-05 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main objective of this paper is to prove the monodromy conjecture for the local Igusa zeta function of a quasi-ordinary polynomial of arbitrary dimension defined over a number field. In order to do it, we compute the local Denef-Loeser motivic zeta function $Z_{\text{DL}}(h,T)$ of a quasi-ordinary power series $h$ of arbitrary dimension over an algebraically closed field of characteristic zero from its characteristic exponents without using embedded resolution of singularities. This allows us to effectively represent $Z_{\text{DL}}(h,T)=P(T)/Q(T)$ such that almost all the candidate poles given by $Q(T)$ are poles. Anyway, these candidate poles give eigenvalues of the monodromy action on the complex $R\psi_h$ of nearby cycles on $h^{-1}(0).$ In particular we prove in this case the monodromy conjecture made by Denef-Loeser for the local motivic zeta function and the local topological zeta function. As a consequence, if $h$ is a quasi-ordinary polynomial defined over a number field we prove the Igusa monodromy conjecture for its local Igusa zeta function.
Author : Alston Scott Householder
Publisher :
ISBN 13 :
Total Pages : 552 pages
Book Rating : 4.F/5 ( download)
Download or read book KWIC Index for Numerical Algebra written by Alston Scott Householder and published by . This book was released on 1972 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A. Bultheel
Publisher : Birkhäuser
ISBN 13 : 303489306X
Total Pages : 277 pages
Book Rating : 4.0/5 (348 download)
Download or read book Laurent Series and their Padé Approximations written by A. Bultheel and published by Birkhäuser. This book was released on 2012-12-06 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Pade approximation problem is, roughly speaking, the local approximation of analytic or meromorphic functions by rational ones. It is known to be important to solve a large scale of problems in numerical analysis, linear system theory, stochastics and other fields. There exists a vast literature on the classical Pade problem. However, these papers mostly treat the problem for functions analytic at 0 or, in a purely algebraic sense, they treat the approximation of formal power series. For certain problems however, the Pade approximation problem for formal Laurent series, rather than for formal power series seems to be a more natural basis. In this monograph, the problem of Laurent-Pade approximation is central. In this problem a ratio of two Laurent polynomials in sought which approximates the two directions of the Laurent series simultaneously. As a side result the two-point Pade approximation problem can be solved. In that case, two series are approximated, one is a power series in z and the other is a power series in z-l. So we can approximate two, not necessarily different functions one at zero and the other at infinity.
Author : Price
Publisher : Routledge
ISBN 13 : 1351467085
Total Pages : 430 pages
Book Rating : 4.3/5 (514 download)
Download or read book An Introduction to Multicomplex SPates and Functions written by Price and published by Routledge. This book was released on 2018-05-11 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: A rather pretty little book, written in the form of a text but more likely to be read simply for pleasure, in which the author (Professor Emeritus of Mathematics at the U. of Kansas) explores the analog of the theory of functions of a complex variable which comes into being when the complexes are re
Author : Werner Balser
Publisher : Springer Science & Business Media
ISBN 13 : 0387225986
Total Pages : 314 pages
Book Rating : 4.3/5 (872 download)
Download or read book Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations written by Werner Balser and published by Springer Science & Business Media. This book was released on 2008-01-19 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: Simple Ordinary Differential Equations may have solutions in terms of power series whose coefficients grow at such a rate that the series has a radius of convergence equal to zero. In fact, every linear meromorphic system has a formal solution of a certain form, which can be relatively easily computed, but which generally involves such power series diverging everywhere. In this book the author presents the classical theory of meromorphic systems of ODE in the new light shed upon it by the recent achievements in the theory of summability of formal power series.
