Abstract
We introduce a nine-parameter Heun-type differential equation and obtain three classes of its solution as series of square integrable functions written in terms of the Jacobi polynomial. The expansion coefficients of the series satisfy three-term recursion relations, which are solved in terms of orthogonal polynomials with continuous and/or discrete spectra. Some of these are well-known polynomials while the others are either new or modified versions of the known ones.
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