Mathematics – Classical Analysis and ODEs
Scientific paper
2011-06-08
Mathematics
Classical Analysis and ODEs
15 pages; validity of the conjecture was extended
Scientific paper
We study Heun's differential equation in the case that one of the
singularities is apparent. In particular we conjecture a relationship with
generalized hypergeometric differential equation and establish it in some
cases. We apply our results to exceptional Jacobi polynomials.
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