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Ozawa, Mitsuru

On a solution of \(w''+e^{-z}w'+(az+b)w=0\). (English) Zbl 0463.34028

Kodai Math. J. 3, 295-309 (1980).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
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Cited in 2 Reviews
Cited in 34 Documents

MSC:

34C11 Growth and boundedness of solutions to ordinary differential equations
34M99 Ordinary differential equations in the complex domain

Keywords:

general solution; transcendental entire function; entire solution of finite order; boundedness
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\textit{M. Ozawa}, Kodai Math. J. 3, 295--309 (1980; Zbl 0463.34028)
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References:

[1] BESICOVITCH, A. S. On integral functions of order <1. Math. Ann. 27 (1927), 677-695. · JFM 53.0294.05
[2] FREI, M. Uber die subnormalen Losungen der Differentialgleichungv //+e zw/+ konst.w/ =0.Comm. Math. Helv. 36 (1961), 1-8. · Zbl 0115.06904
[3] HAYMAN, W. K. The local growth of power series: A survey of the Wiman-Valiron method. Canad. Math. Bull. 17 (1974), 317-358. · Zbl 0314.30021
[4] HILLE, E. Ordinary differential equations in the complex domain. Wiley & Sons. New York (1976). · Zbl 0343.34007
[5] NOSHIRO, K. Cluster Sets. Springer-Verlag, Berlin (1960). · Zbl 0090.28801
[6] TSUJI, M. Potential theory in modern function theory. Maruzen. Tokyo. (1959). · Zbl 0087.28401
[7] VALIRON, G. Sur les functions entieres veriflant uneclasse d’equations differentielles. Bull. Soc. Math. France. 51 (1923), 33-45. · JFM 49.0216.02
[8] WITTICH, H. Neuere Untersuchungen uber eindeutige analytische Funktionen. Springer-Verlag, Berlin. (1955). · Zbl 0067.05501
[9] WITTICH, H. Subnormale Losungen der Differentialgleichung wf’ +p(ez) w1 - q(ez)w =0. Nagoya Math. J. 30 (1967), 29-37. · Zbl 0219.34005
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