Real zeros of 2F1 hypergeometric polynomials

• Autores: Diego Dominici, S. J. Johnston, Kerstin Jordaan
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 247, Nº 1, 2013, págs. 152-161
• Idioma: inglés
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• Resumen

  • 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 2F1(-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.