논문KCI 등재
THE ZEROS DISTRIBUTION OF SOLUTIONS OF HIGHER ORDER DIFFERENTIAL EQUATIONS IN AN ANGULAR DOMAIN
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초록
In this paper, we investigate the zeros distribution and Borel direction for the solutions of linear homogeneous differential equation f(n) + An−2(z)f(n−2) + · · · + A1(z)f' + A0(z)f = 0 (n ≥ 2)in an angular domain. Especially, we establish a relation between a cluster ray of zeros and Borel direction.
Abstract
In this paper, we investigate the zeros distribution and Borel direction for the solutions of linear homogeneous differential equation f(n) + An−2(z)f(n−2) + · · · + A1(z)f' + A0(z)f = 0 (n ≥ 2)in an angular domain. Especially, we establish a relation between a cluster ray of zeros and Borel direction.
참고문헌 (14)
- Z. X. Chen, "On the zeros and hyper-order of meromorphic solutions of linear differential equations", Ann. Acad. Sci. Fenn. Math, 24(1), pp.215~224 (1999)
- Z. X. Chen, "On the growth of solutions of a class of higher order differential equations", Acta Math. Sci. Ser. B Engl. Ed., 24(1), pp.52~60 (2004)
- A. A. Gol'dberg, "The Distribution of Values of Meromorphic Functions" (1970), Izdat. Nauka
- S. A. Gao, "Oscillation theory of linear differential equation" (1998), Huazhong University of Science and Technology Press
- W. K. Hayman, "Meromorphic Function" (1964)
- Y. Z. He, "Algebroid functions and ordinary differential equations" (1998), Science Press
- Z. B. Huang, "Angular distribution with hyper-order in complex oscillation theory", (Chinese) Acta Math. Sinica (Chin. Ser.), 50(3), pp.601~614 (2007)
- I. Laine, "Nevanlinna Theory and Complex Differential Equations" (1993), Walter de Gruyter & Co.
- R. Nevanlinna, "Über die Eigenschaften meromorpher funktionen in einem winkelraum", Acta Soc. Sci. Fenn., 50, pp.1~45 (1925)
- S. J. Wu, "On the location of zeros of solutions of f" + A(z)f = 0 where A(z) is entire", Math. Scand., 74(2), pp.293~312 (1994)
- S. J. Wu, "Angular distribution in complex oscillation theory", Sci. China Ser. A, 48(1), pp.107~114 (2005)
- Z. J. Wu, "Angular distribution in complex oscillation", Acta Math. Sinica (Chin. Ser.), 50(6), pp.1297~1304 (2007)
- L. Yang, "Value Distribution Theory and its New Researches" (1992), Beijing Science Press
- C. F. Yi, "Angular distribution of solutions of a higher-order differential equation", Acta Math. Sinica (Chin. Ser.), 48(1), pp.133~140 (2005)
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