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Die Koeffizientenkörper schlichter Trinome. (German) Zbl 0441.30012


MSC:

30C10 Polynomials and rational functions of one complex variable
30C50 Coefficient problems for univalent and multivalent functions of one complex variable

Citations:

Zbl 0431.30009
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References:

[1] Brannan, D.A.: Coefficient regions for univalent polynomials of small degree. Mathematika14, 165-169 (1967) · Zbl 0193.37004 · doi:10.1112/S0025579300003764
[2] Cowling, V.F., Royster, W.C.: Domains of variability for univalent polynomials. Proc. Amer. Math. Soc.19, 767-772 (1968) · Zbl 0159.10501 · doi:10.1090/S0002-9939-1968-0227392-2
[3] Dieudonné, J.: Recherches sur quelques problèmes relatifs aux polynômes et aux fonctions bornées d’une variable complèxe. Ann. Sci. Ecole Norm. Sup. (3)48, 247-358 (1931) · JFM 57.0355.02
[4] Fejér, L.: Über die Wurzel vom kleinsten absoluten Betrage einer algebraischen Gleichung. Math. Ann.65, 413-423 (1909) · JFM 39.0123.02 · doi:10.1007/BF01456420
[5] Landau, E.: Über den Picardschen Satz. Vierteljschr. Naturforsch. Gesellsch. Zürich51, 252-318 (1906) · JFM 37.0418.01
[6] Marden, M.: The Geometry of the Zeros of a Poynomial in a Complex Variable. Amer. Math. Soc. Mathematical Surveys III New York: American Mathematical Society 1949 · Zbl 0038.15303
[7] Quine, J.R.: On the self-intersections of the image of the unit circle under a polynomial mapping. Proc. Amer. Math. Soc.39, 135-140 (1973) · Zbl 0264.30010 · doi:10.1090/S0002-9939-1973-0313485-X
[8] Rahman, Q.I., Szynal, J.: On some classes of univalent polynomials. Canad. J. Math.30, 332-349 (1978) · Zbl 0381.30005 · doi:10.4153/CJM-1978-030-2
[9] Ruscheweyh, St., Wirths, K.-J.: Über die Koeffizienten spezieller schlichter Polynome. Ann. Pol. Math.28, 341-355 (1973) · Zbl 0244.30013
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