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Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations Book

Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations
Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations, 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 certai, Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations has a rating of 3 stars
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Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations, 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 certai, Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations
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  • Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations
  • Written by author Werner Balser
  • Published by Springer-Verlag New York, LLC, August 2010
  • 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 certai
  • 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 certai
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Book Categories

Authors

Preface
1Basic Properties of Solutions1
2Singularities of First Kind17
3Highest-Level Formal Solutions37
4Asymptotic Power Series59
5Integral Operators77
6Summable Power Series97
7Cauchy-Heine Transform115
8Solutions of Highest Level123
9Stokes' Phenomenon139
10Multisummable Power Series159
11Ecalle's Acceleration Operators175
12Other Related Questions183
13Applications in Other Areas, and Computer Algebra197
14Some Historical Remarks207
AMatrices and Vector Spaces211
BFunctions with Values in Banach Spaces219
CFunctions of a Matrix237
Solutions to the Exercises243
References267
Index289
List of Symbols295


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Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations, 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 certai, Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations

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Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations, 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 certai, Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations

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Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations, 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 certai, Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations

Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations

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