Real zeros of 2F1 hypergeometric polynomials

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:247

Article

Dominici, D.¹  Johnston, S. J.²  Jordaan, K.³ 

[1] State Univ New York New Paltz, Dept Math, New Paltz, NY 12561 USA

[2] Univ S Africa, Dept Math Sci, ZA-0003 Unisa, South Africa

[3] Univ Pretoria, Dept Math & Appl Math, ZA-0002 Pretoria, South Africa

关键词: Orthogonal polynomials;    Zeros;    Hypergeometric polynomials;   

DOI  :  10.1016/j.cam.2012.12.024

来源: Elsevier

【 摘 要 】

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 F-2(1)(-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. (C) 2013 Elsevier B.V. All rights reserved.

【 授权许可】

Free