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arXiv · 1911.01514

On the Form of Solutions of Fuchsian differential Equations with n regular singular Points

Albert Huber
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Abstract

The form of the coefficients of power series expressions corresponding to solutions of Fuchsian differential equations (or their associated degenerated confluent forms) with n regular singular points is determined by solving the corresponding n-term recurrence relations in full generality. Some important special cases are discussed in which the solutions coincide with special functions of mathematical physics.

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Albert Huber. 2019-11-04. On the Form of Solutions of Fuchsian differential Equations with n regular singular Points. https://arxiv.org/abs/1911.01514

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