Zeros of the hypergeometric polynomials F(-n, b; 2b; z)

Indagationes Mathematicae

Volumn 11, Issue 1, 2000, Pages 43-51

  Driver, Kathy ^a,b   Duren, Peter ^a,b  

^a UNIVERSITY OF THE WITWATERSRAND   (South Africa)

^b UNIVERSITY OF MICHIGAN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034731887     PISSN: 00193577     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0019-3577(00)88572-9     Document Type: Article

References (12)

1. Abramowitz, M. and I. Stegun - Handbook of Mathematical Functions. Dover, New York (1965).
2. Bateman Manuscript Project - Higher Transcendental Functions, Volume I. A. Erdélyi, editor, McGraw-Hill, New York (1953).
3. Borwein, P.B. and W. Chen - "Incomplete rational approximation in the complex plane". Constr. Approx. 11, 85-106 (1995).
4. Driver, K. and P. Duren - "Asymptotic zero distribution of hypergeometric polynomials". Numerical Algorithms 21, 147-156 (1999).
5. Driver, K. and P. Duren - "Trajectories of the zeros of hypergeometric polynomials F(-n,b; 2b; z) for b < -1/2". Constr. Approx. (to appear).
6. Elbert, A. and A. Laforgia - "Upper bounds for the zeros of ultraspherical polynomials". J. Approx. Th. 61, 88-97 (1990).
7. Prudnikov, A.P., Yu.A. Brychkov and O.I. Marichev - Integrals and Series. Vol. 3. Moscow, 'Nauka', 1986 (in Russian); English translation, Gordon & Breach, New York, 1988); Errata in Math. Comp. 65, 1380-1384 (1996).
8. Rainville, E. - Special Functions. Macmillan, New York (1960).
9. Ridley, J. - "An elementary proof on location of zeros". Amer. Math. Monthly (to appear).
10. n = 0". Acta Math. 9, 385-400 (1886); Oeuvres Complètes, vol. 2, pp. 73-88.
11. n = 0". Acta Math. 9, 385-400 (1886); Oeuvres Complètes, vol. 2, pp. 73-88.
12. Szego, G. - Orthogonal Polynomials. American Mathematical Society, New York (1959).