Author: Werner Balser
Publisher: Springer
ISBN: 3540485945
Category : Mathematics
Languages : en
Pages : 117
Book Description
Multisummability is a method which, for certain formal power series with radius of convergence equal to zero, produces an analytic function having the formal series as its asymptotic expansion. This book presents the theory of multisummabi- lity, and as an application, contains a proof of the fact that all formal power series solutions of non-linear meromorphic ODE are multisummable. It will be of use to graduate students and researchers in mathematics and theoretical physics, and especially to those who encounter formal power series to (physical) equations with rapidly, but regularly, growing coefficients.
From Divergent Power Series to Analytic Functions
Author: Werner Balser
Publisher: Springer
ISBN: 3540485945
Category : Mathematics
Languages : en
Pages : 117
Book Description
Multisummability is a method which, for certain formal power series with radius of convergence equal to zero, produces an analytic function having the formal series as its asymptotic expansion. This book presents the theory of multisummabi- lity, and as an application, contains a proof of the fact that all formal power series solutions of non-linear meromorphic ODE are multisummable. It will be of use to graduate students and researchers in mathematics and theoretical physics, and especially to those who encounter formal power series to (physical) equations with rapidly, but regularly, growing coefficients.
Publisher: Springer
ISBN: 3540485945
Category : Mathematics
Languages : en
Pages : 117
Book Description
Multisummability is a method which, for certain formal power series with radius of convergence equal to zero, produces an analytic function having the formal series as its asymptotic expansion. This book presents the theory of multisummabi- lity, and as an application, contains a proof of the fact that all formal power series solutions of non-linear meromorphic ODE are multisummable. It will be of use to graduate students and researchers in mathematics and theoretical physics, and especially to those who encounter formal power series to (physical) equations with rapidly, but regularly, growing coefficients.
Analytic Series
Author:
Publisher:
ISBN:
Category : Mental health
Languages : en
Pages : 370
Book Description
Publisher:
ISBN:
Category : Mental health
Languages : en
Pages : 370
Book Description
A Primer of Real Analytic Functions
Author: KRANTZ
Publisher: Birkhäuser
ISBN: 3034876440
Category : Science
Languages : en
Pages : 190
Book Description
The subject of real analytic functions is one of the oldest in mathe matical analysis. Today it is encountered early in ones mathematical training: the first taste usually comes in calculus. While most work ing mathematicians use real analytic functions from time to time in their work, the vast lore of real analytic functions remains obscure and buried in the literature. It is remarkable that the most accessible treatment of Puiseux's theorem is in Lefschetz's quite old Algebraic Geometry, that the clearest discussion of resolution of singularities for real analytic manifolds is in a book review by Michael Atiyah, that there is no comprehensive discussion in print of the embedding prob lem for real analytic manifolds. We have had occasion in our collaborative research to become ac quainted with both the history and the scope of the theory of real analytic functions. It seems both appropriate and timely for us to gather together this information in a single volume. The material presented here is of three kinds. The elementary topics, covered in Chapter 1, are presented in great detail. Even results like a real ana lytic inverse function theorem are difficult to find in the literature, and we take pains here to present such topics carefully. Topics of middling difficulty, such as separate real analyticity, Puiseux series, the FBI transform, and related ideas (Chapters 2-4), are covered thoroughly but rather more briskly.
Publisher: Birkhäuser
ISBN: 3034876440
Category : Science
Languages : en
Pages : 190
Book Description
The subject of real analytic functions is one of the oldest in mathe matical analysis. Today it is encountered early in ones mathematical training: the first taste usually comes in calculus. While most work ing mathematicians use real analytic functions from time to time in their work, the vast lore of real analytic functions remains obscure and buried in the literature. It is remarkable that the most accessible treatment of Puiseux's theorem is in Lefschetz's quite old Algebraic Geometry, that the clearest discussion of resolution of singularities for real analytic manifolds is in a book review by Michael Atiyah, that there is no comprehensive discussion in print of the embedding prob lem for real analytic manifolds. We have had occasion in our collaborative research to become ac quainted with both the history and the scope of the theory of real analytic functions. It seems both appropriate and timely for us to gather together this information in a single volume. The material presented here is of three kinds. The elementary topics, covered in Chapter 1, are presented in great detail. Even results like a real ana lytic inverse function theorem are difficult to find in the literature, and we take pains here to present such topics carefully. Topics of middling difficulty, such as separate real analyticity, Puiseux series, the FBI transform, and related ideas (Chapters 2-4), are covered thoroughly but rather more briskly.
Analytic Number Theory
Author: Richard Bellman
Publisher: Benjamin-Cummings Publishing Company
ISBN:
Category : Mathematics
Languages : en
Pages : 226
Book Description
Publisher: Benjamin-Cummings Publishing Company
ISBN:
Category : Mathematics
Languages : en
Pages : 226
Book Description
Elementary Theory of Analytic Functions of One or Several Complex Variables
Author: Henri Cartan
Publisher: Courier Corporation
ISBN: 0486318672
Category : Mathematics
Languages : en
Pages : 242
Book Description
Basic treatment includes existence theorem for solutions of differential systems where data is analytic, holomorphic functions, Cauchy's integral, Taylor and Laurent expansions, more. Exercises. 1973 edition.
Publisher: Courier Corporation
ISBN: 0486318672
Category : Mathematics
Languages : en
Pages : 242
Book Description
Basic treatment includes existence theorem for solutions of differential systems where data is analytic, holomorphic functions, Cauchy's integral, Taylor and Laurent expansions, more. Exercises. 1973 edition.
DHHS Publication No. (PHS).
Author:
Publisher:
ISBN:
Category : Public health
Languages : en
Pages : 92
Book Description
Publisher:
ISBN:
Category : Public health
Languages : en
Pages : 92
Book Description
Zeros of Gaussian Analytic Functions and Determinantal Point Processes
Author: John Ben Hough
Publisher: American Mathematical Soc.
ISBN: 0821843737
Category : Analytic functions
Languages : en
Pages : 170
Book Description
Examines in some depth two important classes of point processes, determinantal processes and 'Gaussian zeros', i.e., zeros of random analytic functions with Gaussian coefficients. This title presents a primer on modern techniques on the interface of probability and analysis.
Publisher: American Mathematical Soc.
ISBN: 0821843737
Category : Analytic functions
Languages : en
Pages : 170
Book Description
Examines in some depth two important classes of point processes, determinantal processes and 'Gaussian zeros', i.e., zeros of random analytic functions with Gaussian coefficients. This title presents a primer on modern techniques on the interface of probability and analysis.
Analytic Combinatorics in Several Variables
Author: Robin Pemantle
Publisher: Cambridge University Press
ISBN: 1107031575
Category : Mathematics
Languages : en
Pages : 395
Book Description
Aimed at graduate students and researchers in enumerative combinatorics, this book is the first to treat the analytic aspects of combinatorial enumeration from a multivariate perspective.
Publisher: Cambridge University Press
ISBN: 1107031575
Category : Mathematics
Languages : en
Pages : 395
Book Description
Aimed at graduate students and researchers in enumerative combinatorics, this book is the first to treat the analytic aspects of combinatorial enumeration from a multivariate perspective.
NOAA Coastal Ocean Program Decision Analysis Series
Author:
Publisher:
ISBN:
Category : Coastal ecology
Languages : en
Pages : 182
Book Description
Publisher:
ISBN:
Category : Coastal ecology
Languages : en
Pages : 182
Book Description
An Economic Analysis Series for Screening Proposed Timber Management Projects
Author: Francis J. Horak
Publisher:
ISBN:
Category : Forest management
Languages : en
Pages : 72
Book Description
Publisher:
ISBN:
Category : Forest management
Languages : en
Pages : 72
Book Description