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Steinmetz, Norbert

Über die Nullstellen von Differentialpolynomen. (German) Zbl 0466.30026

Math. Z. 176, 255-264 (1981).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0466.30026

Cited in 5 Reviews
Cited in 12 Documents

MSC:

30D35 Value distribution of meromorphic functions of one complex variable, Nevanlinna theory
30D30 Meromorphic functions of one complex variable (general theory)

Keywords:

zeros of differential polynomials; transcendental meromorphic function; Nevanlinna deficiency; Riccati equation

Citations:

Zbl 0176.372; Zbl 0402.30034; Zbl 0104.295
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\textit{N. Steinmetz}, Math. Z. 176, 255--264 (1981; Zbl 0466.30026)
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References:

[1] Clunie, J.: On integral and meromorphic functions. J. London Math. Soc.37, 17-27 (1962) · Zbl 0104.29504
[2] Clunie, J.: On a result of Hayman. J. London Math. Soc.42, 389-392 (1967) · Zbl 0169.40801
[3] Frank, G.: Eine Vermutung von Hayman über Nullstellen meromorpher Funktionen. Math. Z.149, 29-36 (1976) · Zbl 0321.30034
[4] Golubew, W.W.: Vorlesungen über Differentialgleichungen im Komplexen. Berlin: Deutscher Verlag der Wissenschaften 1958 · Zbl 0082.07001
[5] Hayman, W.K.: Meromorphic functions. Oxford: Clarendon Press 1964 · Zbl 0115.06203
[6] Hayman, W.K.: Picard values of meromorphic functions and their derivatives. Ann. of Math. II Ser.70, 9-42 (1959) · Zbl 0088.28505
[7] Mues, E.: Über ein Problem von Hayman. Math. Z.164, 239-259 (1979) · Zbl 0402.30034
[8] Mues, E.: Zur Wertverteilung von Differentialpolynomen. Arch. Math.32, 55-67 (1979) · Zbl 0407.30022
[9] Nevanlinna, R.: Eindeutige analytische Funktionen. Berlin, Heidelberg, New York: Springer 1974 · Zbl 0278.30002
[10] Ngoan, V., Ostrovskii, I.V.: The logarithmic derivative of a meromorphic function. Akad. Nauk. Armjan, SSR Dokl.41, 272-277 (1965)
[11] Sons, L.R.: Deficiencies of Monomials. Math. Z.111, 53-68 (1969) · Zbl 0176.37204
[12] Steinmetz, N.: Ein Malmquistscher Satz für algebraische Differentialgleichungen erster Ordnung. J. reine angew. Math.316, 44-53 (1980) · Zbl 0426.34011
[13] Wittich, H.: Neuere Untersuchungen über eindeutige analytische Funktionen. Berlin, Göttingen, Heidelberg: Springer 1955 · Zbl 0067.05501
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