The sharpness of lorentz’s theorem on incomplete polynomials

Transactions of the American Mathematical Society

Volumn 249, Issue 1, 1979, Pages 163-186

  Saff, E B ^a   Varga, R S ^b  

^a UNIVERSITY OF SOUTH FLORIDA   (United States)

^b KENT STATE UNIVERSITY   (United States)

Author keywords

Geometric convergence; Incomplete polynomials; Jacobi polynomials; Method of steepest descents; Uniform convergence

Indexed keywords

EID: 0038780347     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9947-1979-0526316-X     Document Type: Article

References (7)

1. L. Ya. Geronimus, Orthogonal polynomials, Consultants Bureau Enterprises, New York, 1971.
2. Peter Henrici, Applied and computational complex analysis, Vol. 2, Wiley, New York, 1977.
3. G. G. Lorentz, Approximation by incomplete polynomials (problems and results), Pade andRational Approximations: Theory and Applications (E. B. Saff and R. S. Varga, eds.), AcademicPress, New York, 1977, pp. 289-302.
4. D. S. Moak, E. B. Saff and R. S. Varga, On the zeros of Jacobi polynomials P^^Xx), Trans.Amer. Math. Soc. 249 (1979), 159-162.
5. F. W. J. Olver, Asymptotics and special functions, Academic Press, New York, 1974.
6. G. Szego, Orthogonal polynomials, Amer. Math. Soc. Colloq. Publ., Vol. 33, 4th ed., Amer.Math. Soc., Providence, R. I., 1975.
7. J. L. Walsh, Interpolation and approximation by rational functions in the complex domain, Amer. Math. Soc. Colloq. Publ., Vol. 20, fifth ed., Amer. Math. Soc., Providence, R.I., 1969.