The infinite growth of solutions of second order linear complex differential equations with completely regular growth coefficient

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참고문헌 (38)

1. L. Ahlfors, "Untersuchungen zur Theorie der konformen abbildung und der Theorie der ganzen Funktionen", Acta Soc. Sci. Fenn, 1, pp.1~40 (1930)
2. Irvine Noel Baker, "Multiply connected domains of normality in iteration theory", Mathematische Zeitschrift, 81(3), pp.206~214 (1963), Springer Science and Business Media LLC[DOI]
3. I. N. Baker, "The domains of normality of an entire function", Ann. Acad. Sci. Fenn. Ser. A I Math, 1(2), pp.277~283 (1975)
4. I. N. Baker, "An entire function which has wandering domains", Journal of the Australian Mathematical Society, 22(2), pp.173~176 (1976), Cambridge University Press (CUP)[DOI]
5. Walter Bergweiler, "Iteration of meromorphic functions", Bulletin of the American Mathematical Society, 29(2), pp.151~188 (1993), American Mathematical Society (AMS)[DOI]
6. Walter Bergweiler, "Lebesgue measure of escaping sets of entire functions of completely regular growth", Journal of the London Mathematical Society, 94(2), pp.639~661 (2016), Wiley[DOI]
7. Z. Chen, "The growth of solutions of f 00 + e-zf 0 + Q(z)f = 0 where the order(Q)= 1", Sci. China Ser. A, 45(3), pp.290~300 (2002)
8. A. Denjoy, "Sur les fonctions enti`eres de genre fini", C. R. Acad. Sci. Paris, 45, pp.106~109 (1907)
9. A. E. Er¨emenko, "Dynamical properties of some classes of entire functions", Ann. Inst. Fourier(Grenoble), 42(4), pp.989~1020 (1992)
10. Mikhail Ostrovskii, "Value distribution of meromorphic functions" (1970), American Mathematical Society
11. Gary G. Gundersen, "On the question of whether f″+ e−zf′ + B(z)f = 0 can admit a solution f ≢ 0 of finite order", Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 102(1-2), pp.9~17 (1986), Cambridge University Press (CUP)[DOI]
12. G. G. Gundersen, "Estimates for the logarithmic derivative of a meromorphic function, plus similar estimates", J. London Math. Soc, 37(1), pp.88~104 (1988)[DOI]
13. G. G. Gundersen, "Finite order solutions of second order linear differential equations", Trans. Amer. Math. Soc, 305(1), pp.415~429 (1988)[DOI]
14. Janne Heittokangas, "Completely regular growth solutions of second order complex linear differential equations", Annales Academiae Scientiarum Fennicae Mathematica, 40(2), pp.985~1003 (2015), Finnish Academy of Science and Letters[DOI]
15. Simon Hellerstein, "On the growth of solutions of f 00 + gf0 + hf = 0", Trans. Amer. Math. Soc, 324(2), pp.693~706 (1991), JSTOR[DOI]
16. E. Hille, "Lectures on Ordinary Differential Equations" (1969), Addison-Wesley Publ. Co
17. A. S. B. Holland, "Introduction to the Theory of Entire Functions" (1973), Academic Press
18. Katsuya Ishizaki, "On the Complex Oscillation of Some Linear Differential Equations", Journal of Mathematical Analysis and Applications, 206(2), pp.503~517 (1997), Elsevier BV[DOI]
19. I. Laine, "Nevanlinna Theory and Complex Differential Equations" (1993), Walter de Gruyter & Co
20. Ilpo Laine, "Growth of solutions of second order linear differential equations", Proceedings of the American Mathematical Society, 128(9), pp.2693~2703 (2000), American Mathematical Society (AMS)[DOI]
21. J. K. Langley, "On complex oscillation and a problem of Ozawa", Kodai Mathematical Journal, 9(3), pp.430~439 (1986), Tokyo Institute of Technology, Department of Mathematics[DOI]
22. B. Levin, "Distribution of Zeros of Entire Functions", American Mathematical Society, ~ (1964)
23. Jianren Long, "Growth of solutions of second order complex linear differential equations with entire coefficients", Filomat, 32(1), pp.275~284 (2018), National Library of Serbia[DOI]
24. J. R. Long, "Growth of solutions to a second-order complex linear differential equation", Math. Pract. Theory, 45(2), pp.243~247 (2015)
25. Jian Ren Long, "On the growth of solutions of second order linear differential equations with extremal coefficients", Acta Mathematica Sinica, English Series, 29(2), pp.365~372 (2013), Springer Science and Business Media LLC[DOI]
26. T. Murai, "The deficiency of entire functions with Fej´er gaps", Ann. Inst. Fourier(Grenoble), 33(3), pp.39~58 (1983)
27. E. Schwengeler, "Geometrisches ¨uber die Verteilung der Nullstellen spezieller ganzer Funktionen(Exponentialsummen)", pp.1925
28. David J. Sixsmith, "Julia and Escaping Set Spiders’ Webs of Positive Area", International Mathematics Research Notices, 2015(19), pp.9751~9774 (2015), Oxford University Press (OUP)[DOI]
29. Jun WANG, "Limiting directions of julia sets of entire solutions to complex differential equations", Acta Mathematica Scientia, 37(1), pp.97~107 (2017), Elsevier BV[DOI]
30. Zhi-Tao Wen, "Dual exponential polynomials and linear differential equations", Journal of Differential Equations, 264(1), pp.98~114 (2018), Elsevier BV[DOI]
31. X. Wu, "Second-order complex linear differential equations with special functions or extremal functions as coefficients", Electron. J. Differential Equations, 2015(143), pp.15~ (2015)
32. X. B. Wu, "Growth of solutions to the equation f 00 + Af0 + Bf = 0, where A is a solution to a second-order linear differential equation", Acta Math. Sci. Ser. A(Chin. Ed. ), 33(1), pp.46~52 (2013)
33. PengCheng Wu, "On the growth of solutions to the complex differential equation f″ + Af′ + Bf = 0", Science China Mathematics, 54(5), pp.939~947 (2011), Springer Science and Business Media LLC[DOI]
34. C. -C. Yang, "Uniqueness theory of meromorphic functions" (2003), Kluwer Academic Publishers Group
35. L. Yang, "Distribution of Borel directions of entire functions", Acta Math. Sinica, 19(3), pp.157~168 (1976)
36. G. H. Zhang, "Theory of Entire and Meromorphic Functions-Deficient Values, Asymptotic Values and Singular Directions" (1993), Springer-Verlag
37. Guowei Zhang, "THE INFINITE GROWTH OF SOLUTIONS OF COMPLEX DIFFERENTIAL EQUATIONS OF WHICH COEFFICIENT WITH DYNAMICAL PROPERTY", Taiwanese Journal of Mathematics, 18(4), pp.1063~1069 (2014), The Mathematical Society of the Republic of China[DOI]
38. Jian-Hua Zheng, "On multiply-connected Fatou components in iteration of meromorphic functions", Journal of Mathematical Analysis and Applications, 313(1), pp.24~37 (2006), Elsevier BV[DOI]

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