Werner Balser – författare
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3 produkter
3 produkter
Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations
Inbunden, Engelska, 1999
541 kr
Skickas inom 10-15 vardagar
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.
Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations
Häftad, Engelska, 2013
541 kr
Skickas inom 10-15 vardagar
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.
From Divergent Power Series to Analytic Functions
Theory and Application of Multisummable Power Series
Häftad, Engelska, 1994
306 kr
Skickas inom 10-15 vardagar
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 multisummability, 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.