Accession Number:
ADP013755
Title:
Zeros of the Hypergeometric Polynomial F(-n, b; c; z)
Descriptive Note:
Conference paper
Corporate Author:
UNIVERSITY OF THE WITWATERSRAND JOHANNESBURG (SOUTH AFRICA) SCHOOL OF MATHEMATICS
Personal Author(s):
Report Date:
2001-07-01
Pagination or Media Count:
9.0
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.
Descriptors:
Subject Categories:
- Numerical Mathematics
- Theoretical Mathematics