On a method of estimating derivatives in complex differential equations

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概要

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• By a recent method to estimate the derivatives |w<SUP>(k)</SUP>(z<SUB>i</SUB>)|, \ k>1, at certain a-points of a meromorphic function w(z) in terms of the Ahlfors-Shimizu characteristic and of |w^{}(z<SUB>i</SUB>)|, we improve some classical results on the growth of meromorphic solutions of certain algebraic differential equations. Moreover, we offer similar results for equations involving inverse derivatives and derivatives of a power w<SUP>t</SUP> of a meromorphic function w.

• 社団法人 日本数学会の論文
• 2002-10-01

著者

• Laine Ilpo

  Department Of Mathematics Joensuu University

• BARSEGIAN Grigor

  Institute of Mathematics National Academy of Sciences of Armenia

• YANG Chung-chun

  Department of Mathematics The Hong Kong University of Science and Technology

• Yang Chung-chun

  Department Of Mathematics The Hong Kong University Of Science & Technology

関連論文

• Riccati differential equations with elliptic coefficients II
• Some oscillation results for linear differential equations in the complex plane
• On a method of estimating derivatives in complex differential equations
• Julia sets of two permutable entire functions
• Value sharing of an entire function and its derivatives

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