Generalized-hypergeometric solutions of the general Fuchsian linear ODE having five regular singularities
arXiv:1909.07794 · doi:10.3390/axioms8030102
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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