On the real parts of the zeros of complex polynomials and applications to continued fraction expansions of analytic functions
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- by Evelyn Frank
- Trans. Amer. Math. Soc. 62 (1947), 272-283
- DOI: https://doi.org/10.1090/S0002-9947-1947-0021626-6
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References
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- Evelyn Frank, On the zeros of polynomials with complex coefficients, Bull. Amer. Math. Soc. 52 (1946), 144–157. MR 14509, DOI 10.1090/S0002-9904-1946-08526-2
- Evelyn Frank, The location of the zeros of polynomials with complex coefficients, Bull. Amer. Math. Soc. 52 (1946), 890–898. MR 17440, DOI 10.1090/S0002-9904-1946-08668-1
- J. Geronimus, On polynomials orthogonal on the circle, on trigonometric moment-problem and on allied Carathéodory and Schur functions, Rec. Math. [Mat. Sbornik] N.S. 15(57) (1944), 99–130 (Russian, with English summary). MR 0012715 I. Schur, Über Potenzreihen, die im Innern des Einheitskreises beschrankt sind, J. Reine Angew. Math. vol. 147 (1917) pp. 205-232; vol. 148 (1918) pp. 122-145. —, Über algebraische Gleichungen, die nur Wurzeln mit negativen Realteilen besitzen, Zeitschrift für angewandte Mathematik und Mechanik vol. 1 (1921) pp. 307-311.
- H. S. Wall, Continued fraction expansions for functions with positive real parts, Bull. Amer. Math. Soc. 52 (1946), 138–143. MR 15473, DOI 10.1090/S0002-9904-1946-08525-0
Bibliographic Information
- © Copyright 1947 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 62 (1947), 272-283
- MSC: Primary 41.1X
- DOI: https://doi.org/10.1090/S0002-9947-1947-0021626-6
- MathSciNet review: 0021626