Zeros of the hypergeometric polynomials F(—n,b;—2n;z)
Journal of Approximation Theory
Zeros of ultraspherical polynomials and the Hilbert-Klein formulas
Journal of Computational and Applied Mathematics
Quadratic and cubic transformations and zeros of hypergeometric polynomials
Journal of Computational and Applied Mathematics
Contiguous relations of hypergeometric series
Journal of Computational and Applied Mathematics - Proceedings of the sixth international symposium on orthogonal polynomials, special functions and their applications
Quasi-orthogonality with applications to some families of classical orthogonal polynomials
Applied Numerical Mathematics
A contribution to quasi-orthogonal polynomials and associated polynomials
Applied Numerical Mathematics
Riemann--Hilbert analysis for Jacobi polynomials orthogonal on a single contour
Journal of Approximation Theory
Polynomial solutions of differential-difference equations
Journal of Approximation Theory
Hi-index | 7.29 |
We use a method based on the division algorithm to determine all the values of the real parameters b and c for which the hypergeometric polynomials "2F"1(-n,b;c;z) have n real, simple zeros. Furthermore, we use the quasi-orthogonality of Jacobi polynomials to determine the intervals on the real line where the zeros are located.