Generalized-hypergeometric solutions of the general Fuchsian linear ODE having five regular singularities

A. Ishkhanyan; C. Cesarano

doi:10.3390/axioms8030102

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arXiv · 1909.07794

Generalized-hypergeometric solutions of the general Fuchsian linear ODE having five regular singularities

A. Ishkhanyan·C. Cesarano

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Abstract

We show that a Fuchsian differential equation having five regular singular points admits solutions in terms of a single generalized hypergeometric function for infinitely many particular choices of equation parameters. Each solution assumes four restrictions imposed on the parameters: two of the singularities should have non-zero integer characteristic exponents and the accessory parameters should obey polynomial equations.

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BibTeX RIS

A. Ishkhanyan, C. Cesarano. 2019-09-14. Generalized-hypergeometric solutions of the general Fuchsian linear ODE having five regular singularities. https://doi.org/10.3390/axioms8030102

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