Power series having partial sums with zeros in a half-plane
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- by Albert Edrei
- Proc. Amer. Math. Soc. 9 (1958), 320-324
- DOI: https://doi.org/10.1090/S0002-9939-1958-0093579-9
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References
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- Jacob Korevaar, Approximation and Interpolation Applied to Entire Functions, University of Leiden, 1949. Thesis,. MR 0029989
- Jacob Korevaar, The zeros of approximating polynomials and the canonical representation of an entire function, Duke Math. J. 18 (1951), 573–592. MR 43203 G. Pó1ya, Über Annäherung durch Polynome mit lauter reellen Wurzeln, Rend. Circ. Mat. Palermo vol. 36 (1913) pp. 279-295. G. Pólya and G. Szegö, Aufgaben und Lehrsätze aus der Analysis, vol. 2, Berlin, 1925. P. Rosenbloom, Sequences of polynomials, especially sections of power series, Thesis, Stanford University, 1943.
- P. C. Rosenbloom, Distribution of zeros of polynomials, Lectures on functions of a complex variable, University of Michigan Press, Ann Arbor, Mich., 1955, pp. 265–285. MR 0072206
- Otto Szász, On sequences of polynomials and the distribution of their zeros, Bull. Amer. Math. Soc. 49 (1943), 377–383. MR 8274, DOI 10.1090/S0002-9904-1943-07919-0
- Louis Weisner, Power series the roots of whose partial sums lie in a sector, Bull. Amer. Math. Soc. 47 (1941), 160–163. MR 3799, DOI 10.1090/S0002-9904-1941-07401-X
Bibliographic Information
- © Copyright 1958 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 9 (1958), 320-324
- MSC: Primary 30.00
- DOI: https://doi.org/10.1090/S0002-9939-1958-0093579-9
- MathSciNet review: 0093579