系数是周期$2\pi i$的二阶复微分方程

Abstract

Abstract: In this paper, we mainly learned classic book 'Nevanlinna theory and complex differential equations' due to Laine and considered the second order complex differential equation $f '' + A (z) f=0, \lambda(f)<\infty$ with coefficient $A (z)$ whose period is $2 \pi i$ . We found a possible error in the original proof and gave its partial correction, and also we gave a slightly weaker conclusion than its possibly controversial result in the original literature.

Key words: Complex differential equation, Nevanlinna theory, entire function, exponent of convergence for zero-sequence

CLC Number:

O174.5

Jie ZHANG. On second order complex differential equations with coefficients of period $2\pi i$ [J].Acta mathematica scientia,Series A, , (): 0-0.

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On second order complex differential equations with coefficients of period $2\pi i$

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On second order complex differential equations with coefficients of period 2πi2\pi i

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On second order complex differential equations with coefficients of period $2\pi i$