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PROPERTIES OF SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS IN THE COMPLEX PLANE

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주제분류수학

초록

We research the properties of solutions of general higher order homoge-neous linear differential equations and apply the hyper order to obtain more precise estimation for the growth of solutions of in¯nite order.

Abstract

We research the properties of solutions of general higher order homoge-neous linear differential equations and apply the hyper order to obtain more precise estimation for the growth of solutions of in¯nite order.

참고문헌 (6)

  1. Zong-Xuan Chen, "HYPER ORDER OF SOLUTIONS OF COMPLEX DIFFERENTIAL EQUATIONS IN THE DISC", 순수 및 응용수학, 16(1), pp.155~165 (2009), 한국수학교육학회
  2. I. Chyzhykov, "Linear differential equations and log-arithmic derivative estimates", Proc. London Math. Soc, 86, pp.735~754 (2003)
  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. CH. Pommerenke, "On the mean growth of the solutions of complex linear differential equations in the disk", Complex Variables, 1, pp.23~38 (1982)
  6. L. Yang, "Value distribution theory, revised edition of the original Chinese edition" (1993), Springer-Verlag

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