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.

Subject Categories:

  • Numerical Mathematics
  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE