Gautschi's conjecture about endpoint ratios of subrange Jacobi polynomials is proved for all degrees when β≥0 and for additional negative-parameter regions, leaving only a bounded parameter wedge open.
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Degree-uniform regions for Gautschi's conjecture on subrange Jacobi polynomials
Gautschi's conjecture about endpoint ratios of subrange Jacobi polynomials is proved for all degrees when β≥0 and for additional negative-parameter regions, leaving only a bounded parameter wedge open.