## Problems in the Sense of Riemann and Klein |

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### Contents

Part | 1 |

Linear differential equations with constant coefficients | 2 |

Linear differential equations with analytic coefficients | 3 |

Copyright | |

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### Common terms and phrases

already angles arbitrary arrive assume boundary values branch circle coefficients complete condition consider consideration constant contain continuous converge corresponding curve denote dependent derivative determinant direction equal to zero everywhere exactly example existence expansion exponents expressed external fact factor finite follows Fuchsian functions fundamental system given gives Hence homogeneous hypergeometric identically infinity initial inside integral equation interval limiting linear differential equation linearly independent solutions manner mapped multiplied negative normal obtain original parameters particular path plane pole polygon polynomial positive possible potential power series prescribed problem rational readily reduce region regular relation remain represented respect result Riemann root satisfied side single-valued singular points solution solved substitution successive sufficient theorem transformation triangle unity vanish variable verified write yı(x zero