Real zeros of 2F1 hypergeometric polynomials

نویسندگان

  • Diego Dominici
  • S. J. Johnston
  • Kerstin Jordaan
چکیده

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.

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عنوان ژورنال:
  • J. Computational Applied Mathematics

دوره 247  شماره 

صفحات  -

تاریخ انتشار 2013