Zeros of the Hypergeometric Polynomial F(-n, b; c; z)
Abstract
Our interest lies in describing the zero behaviour of Gauss hypergeometric polynomials F(-n, b; c; z) where b and c are arbitrary parameters. In general, this problem has not been solved and even when b and c are both real, the only cases that have been fully analyzed impose additional restrictions on b and c. We review recent results that have been proved for the zeros of several classes of hypergeometric polynomials F(-n, b; c; z) where b and c are real. We show that the number of real zeros of F(-n, b; c; z) for arbitrary real values of the parameters b and c, as well as the intervals in which these zeros (if any) lie, can be deduced from corresponding results for Jacobi polynomials.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 2001
- Accession Number
- ADP013755
Entities
People
- K. Driver
- K. Jordaan
Organizations
- University of the Witwatersrand