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Chapter 7
Power series methods

 7.1 Power series
  7.1.1 Definition
  7.1.2 Radius of convergence
  7.1.3 Analytic functions
  7.1.4 Manipulating power series
  7.1.5 Power series for rational functions
  7.1.6 Exercises
 7.2 Series solutions of linear second order ODEs
  7.2.1 Exercises
 7.3 Singular points and the method of Frobenius
  7.3.1 Examples
  7.3.2 The method of Frobenius
  7.3.3 Bessel functions
  7.3.4 Exercises