Document Zbl 0473.30018

Growth of a composite function of entire functions. (English) Zbl 0473.30018

Kodai Math. J. 3, 374-379 (1980).

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MSC:

30D05	Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable
30D35	Value distribution of meromorphic functions of one complex variable, Nevanlinna theory

Keywords:

entire functions; Nevanlinna function; composition

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References:

[1]	CLUNIE, J., On integral functions having prescribed asymptotic growth. Canadian J. Math. 17 (1965), 396-404. · Zbl 0134.29103 · doi:10.4153/CJM-1965-040-8
[2]	CLUNIE, J., The composition of entire and meromorphic functions. Mathematical Essays dedicated to A. J. Macintyre (Ohio Univ. Press, 1970), 75-92. · Zbl 0218.30032
[3]	EDREI, A. AND W. H. J. FUCHS, On the zeros of f(g(z))where/and g are entire functions. J. Analyse Math. 12 (1964), 243-255. · Zbl 0121.30402 · doi:10.1007/BF02807435
[4]	KJELLBERG, B., On the minimum modulus of entire functions of lower order less than one. Math. Scand. 8 (1960), 189-197. · Zbl 0096.05303
[5]	KJELLBERG, B., A theorem on the minimum modulus of entire functions. Math. Scand. 12 (1963), 5-11. · Zbl 0117.03805
[6]	MUTO, H., On the family of analytic mappings among ultrahyperelliptic surfaces. Kdai Math. Sem. Rep. 26 (1974/75), 454-458. · Zbl 0327.30013 · doi:10.2996/kmj/1138847081
[7]	VALIRON, G., Sur un theoreme de M. Fatou. Bull. Sci. Math. 46 (1922), 200-208. · JFM 48.0357.02

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