Generalised Euler Jacobi Inversion Formula And Asymptotics Beyond All Orders PDF Download
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Author | : Vic Kowalenko |
Publisher | : Cambridge University Press |
Total Pages | : 146 |
Release | : 1995-09-14 |
Genre | : Mathematics |
ISBN | : 9780521497985 |
Download Generalised Euler-Jacobi Inversion Formula and Asymptotics Beyond All Orders Book in PDF, ePub and Kindle
This work presents exciting new developments in understanding the subdominant exponential terms of asymptotic expansions which have previously been neglected.
Author | : |
Publisher | : |
Total Pages | : 129 |
Release | : 1995 |
Genre | : Asymptotic expansions |
ISBN | : 9781139885164 |
Download Generalised Euler-Jacobi Inversion Formula and Asymptotics Beyond All Orders Book in PDF, ePub and Kindle
This work, first published in 1995, presents developments in understanding the subdominant exponential terms of asymptotic expansions which have previously been neglected. By considering special exponential series arising in number theory, the authors derive the generalised Euler-Jacobi series, expressed in terms of hypergeometric series. Dingle's theory of terminants is then employed to show how the divergences in both dominant and subdominant series of a complete asymptotic expansion can be tamed. Numerical results are used to illustrate that a complete asymptotic expansion can be made to agree with exact results for the generalised Euler-Jacobi series to any desired degree of accuracy. All researchers interested in the fascinating area of exponential asymptotics will find this a most valuable book.
Author | : Vic Kowalenko |
Publisher | : |
Total Pages | : 144 |
Release | : 1995 |
Genre | : Asymptotic expansions |
ISBN | : 9781107095021 |
Download Generalised Euler-Jacobi Inversion Formula and Asymptotics Beyond All Orders Book in PDF, ePub and Kindle
This work presents exciting new developments in understanding the subdominant exponential terms of asymptotic expansions which have previously been neglected.
Author | : N Frankel |
Publisher | : |
Total Pages | : 144 |
Release | : 2014-05-14 |
Genre | : MATHEMATICS |
ISBN | : 9781107088856 |
Download Generalised Euler-Jacobi Inversion Formula and Asymptotics Beyond All Orders Book in PDF, ePub and Kindle
This work presents exciting new developments in understanding the subdominant exponential terms of asymptotic expansions which have previously been neglected.
Author | : Victor Kowalenko |
Publisher | : Bentham Science Publishers |
Total Pages | : 262 |
Release | : 2009 |
Genre | : Mathematics |
ISBN | : 1608050106 |
Download The Stokes Phenomenon, Borel Summation and Mellin-Barnes Regularisation Book in PDF, ePub and Kindle
The Stokes phenomenon refers to the emergence of jump discontinuities in asymptotic expansions at specific rays in the complex plane. This book presents a radical theory for the phenomenon by introducing the concept of regularization. Two methods of regularization, Borel summation and Mellin-Barnes regularization, are used to derive general expressions for the regularized values of asymptotic expansions throughout the complex plane. Though different, both yield identical values, which, where possible, agree with the original functions. Consequently, asymptotics has been elevated to a true disc
Author | : Peter A. Clarkson |
Publisher | : Cambridge University Press |
Total Pages | : 444 |
Release | : 1999-02-04 |
Genre | : Mathematics |
ISBN | : 9780521596992 |
Download Symmetries and Integrability of Difference Equations Book in PDF, ePub and Kindle
This volume comprises state-of-the-art articles in discrete integrable systems.
Author | : |
Publisher | : Cambridge University Press |
Total Pages | : 248 |
Release | : |
Genre | : |
ISBN | : |
Download Algebraic Theory of Differential Equations Book in PDF, ePub and Kindle
Author | : Dragoš Cvetkovic |
Publisher | : Cambridge University Press |
Total Pages | : 316 |
Release | : 2004-07-22 |
Genre | : Mathematics |
ISBN | : 9780521836630 |
Download Spectral Generalizations of Line Graphs Book in PDF, ePub and Kindle
Introduction -- Forbidden subgraphs -- Root systems -- Regular graphs -- Star complements -- The Maximal exceptional graphs -- Miscellaneous results.
Author | : Steve Bradlow |
Publisher | : Cambridge University Press |
Total Pages | : 516 |
Release | : 2009-05-21 |
Genre | : Mathematics |
ISBN | : 0521734711 |
Download Moduli Spaces and Vector Bundles Book in PDF, ePub and Kindle
Coverage includes foundational material as well as current research, authored by top specialists within their fields.
Author | : Igor Dolgachev |
Publisher | : Cambridge University Press |
Total Pages | : 244 |
Release | : 2003-08-07 |
Genre | : Mathematics |
ISBN | : 9780521525480 |
Download Lectures on Invariant Theory Book in PDF, ePub and Kindle
The primary goal of this 2003 book is to give a brief introduction to the main ideas of algebraic and geometric invariant theory. It assumes only a minimal background in algebraic geometry, algebra and representation theory. Topics covered include the symbolic method for computation of invariants on the space of homogeneous forms, the problem of finite-generatedness of the algebra of invariants, the theory of covariants and constructions of categorical and geometric quotients. Throughout, the emphasis is on concrete examples which originate in classical algebraic geometry. Based on lectures given at University of Michigan, Harvard University and Seoul National University, the book is written in an accessible style and contains many examples and exercises. A novel feature of the book is a discussion of possible linearizations of actions and the variation of quotients under the change of linearization. Also includes the construction of toric varieties as torus quotients of affine spaces.