From Divergent Power Series to Analytic Functions - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook From Divergent Power Series to Analytic Functions write by Werner Balser. This book was released on 2006-11-15. From Divergent Power Series to Analytic Functions available in PDF, EPUB and Kindle. 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
From Divergent Power Series to Analytic Functions - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook From Divergent Power Series to Analytic Functions write by Werner Balser. This book was released on 2014-01-15. From Divergent Power Series to Analytic Functions available in PDF, EPUB and Kindle.
Divergent Series, Summability and Resurgence II
Divergent Series, Summability and Resurgence II - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Divergent Series, Summability and Resurgence II write by Michèle Loday-Richaud. This book was released on 2016-06-28. Divergent Series, Summability and Resurgence II available in PDF, EPUB and Kindle. Addressing the question how to “sum” a power series in one variable when it diverges, that is, how to attach to it analytic functions, the volume gives answers by presenting and comparing the various theories of k-summability and multisummability. These theories apply in particular to all solutions of ordinary differential equations. The volume includes applications, examples and revisits, from a cohomological point of view, the group of tangent-to-identity germs of diffeomorphisms of C studied in volume 1. With a view to applying the theories to solutions of differential equations, a detailed survey of linear ordinary differential equations is provided, which includes Gevrey asymptotic expansions, Newton polygons, index theorems and Sibuya’s proof of the meromorphic classification theorem that characterizes the Stokes phenomenon for linear differential equations. This volume is the second in a series of three, entitled Divergent Series, Summability and Resurgence. It is aimed at graduate students and researchers in mathematics and theoretical physics who are interested in divergent series, Although closely related to the other two volumes, it can be read independently.
A Course of Modern Analysis
A Course of Modern Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Course of Modern Analysis write by Edmund Taylor Whittaker. This book was released on 1902. A Course of Modern Analysis available in PDF, EPUB and Kindle.
Lectures on Divergent Series
Lectures on Divergent Series - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lectures on Divergent Series write by Emile Borel. This book was released on 1975. Lectures on Divergent Series available in PDF, EPUB and Kindle.
