Trajectories of the zeros of hypergeometric polynomials F (-n, b; 2b; z) for b < - 1/2

Constructive Approximation

Volumn 17, Issue 2, 2001, Pages 169-179

  Driver, K ^a   Duren, P ^b  

^a UNIVERSITY OF THE WITWATERSRAND   (South Africa)

^b UNIVERSITY OF MICHIGAN   (United States)

Author keywords

Hypergeometric functions; Jacobi polynomials; Trajectories of zeros; Ultraspherical polynomials; Zeros of polynomials

Indexed keywords

EID: 0035648928     PISSN: 01764276     EISSN: None     Source Type: Journal    
DOI: 10.1007/s003650010023     Document Type: Article

References (7)

1. Bateman Manuscript Project (1953): Higher Transcendental Functions, Vol. I (A. Erdélyi, ed.). New York: McGraw-Hill.
2. K. DRIVER, P. DUREN (2000): Zeros of the hypergeometric polynomials F(-n, b; 2b; z). Indag. Math., 11:43-51.
3. K. DRIVER, P. DUREN (submitted): Zeros of ultraspherical polynomials and the Hubert-Klein formulas.
4. A. ELBERT, A. LAFORGIA (1990): Upper bounds for the zeros of ultraspherical polynomials. J. Approx. Theory, 61:88-97.
5. M. MULDOON (1995): Electrostatics and zeros of Bessel functions. J. Comput. Appl. Math., 65:299-308.
6. A. P. PRUDNIKOV, Yu. A. BRYCHKOV, O. I. MARICHEV (1986): Integrals and Series, Vol. 3. Moscow: Nauka (in Russian). English translation, New York: Gordon & Breach, 1988; Errata in Math. Comp., 65 (1996):1380-1384.
7. G. SZEGÕ (1959): Orthogonal Polynomials. New York: American Mathematical Society.