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HYPER ORDER OF SOLUTIONS OF COMPLEX DIFFERENTIAL EQUATIONS IN THE DISC

손광호|Zong-Xuan Chen
한국수학교육학회|2009.02|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제16권 제1호|pp. 155-165

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참고문헌

키워드

differential equationhyper orderunit disc.
주제분류수학

초록

We investigate the growth of solutions of complex linear differential equations in the unit disc. We obtain properties of solutions of differential equations with entire coeffients. We use the concept of the hyper order to estimate the growth of solutions.

Abstract

We investigate the growth of solutions of complex linear differential equations in the unit disc. We obtain properties of solutions of differential equations with entire coeffients. We use the concept of the hyper order to estimate the growth of solutions.

참고문헌 (7)

  1. S. Bank, "A general theorem concerning the growth of solutions of ¯rst-order algebraic differential equations", Compositio Math, 25, pp.61~70 (1972)
  2. M. Frei, "Uber die losungen linearer differentialgleichungen mit ganzen funktionen als koe±zienten", Comment. Math. Helv, 35, pp.201~222 (1961)
  3. W. Hayman, "Meromorphic functions" (1964), Clarendon Press
  4. J. Heittokangas, "On complex differential equations in the unit disc", Ann. Acad. Sci.Fenn. Math. Diss, 122, pp.1~54 (2000)
  5. I. Laine, "Nevanlinna theory and complex differential equations" (1993), W. de Gruyter
  6. H. Wittich, "Zur Theorie linearer differentialgleichungen im komplexen", Ann. Acad. Sci.Fenn. Ser. A. I, 379, pp.1~18 (1966)
  7. L. Yang, "Value distribution theory, revised edition of the original Chinese edition" (1993), Springer-Verlag, Science Press

관련 논문AI추천

ESTIMATIONS FOR THE ORDER OF SOLUTIONS OF LINEAR COMPLEX DIFFERENTIAL EQUATIONS손광호, Zong-Xuan Chen한국수학교육학회 · 이론수학과 교직수학2012 · 제19권 제3호PROPERTIES OF SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS IN THE COMPLEX PLANE손광호, Zong-Xuan Chen한국수학교육학회 · 이론수학과 교직수학2010 · 제17권 제3호The growth of solutions of complex differential equations with entire coefficient having finite deficient valueGuowei Zhang대한수학회 · 대한수학회보2021 · 제58권 제6호On the growth of solutions to linear complex differential equations on annuliNan Wu, Zu-Xing Xuan대한수학회 · 대한수학회보2019 · 제56권 제2호On zeros and growth of solutions of second order linear differential equationsManisha Saini, Sanjay Kumar대한수학회 · 대한수학회논문집2020 · 제35권 제1호On the Order of Growth of Solutions to Complex Nonhomogeneous Linear Differential EquationsBenharrat Belaidi, Habib Habib경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2016 · 제56권 제3호

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