DISTRIBUTION OF THE（0，∞）ACCUMULATIVE LINES OF MEROMORPHIC FUNCTIONS

Suppose that f(z)is a meromorphic function of order λ（0<λ<+∞）and of lower order μ in the plane.Let ρ be a positive number such that μ≤ρ≤λ.(1)If f^(l)(z)(0≤l<+∞）has p(1≤p<+∞）finite nonzero deficient valnes αi(i=1,…，p)with deficiencies δ（αi,f^(l)),then f(z)has a (0,∞）accumulative line of order ≥ρin any angular domain whose vertex is at the origin and whose magnitude is larger than max(π/ρ，2π-4/ρ ∑i=1^p arcsin √δ（αi,f^(l))/2).(2)If f(z) has only p(0<p<+∞）（0,∞）,accumulative lines of order≥ρ：arg z=θk(0≤θ1<θ2<…<θp<2π，θp+1=θ1+2π）,then λ≤π/ω，where ω=min I≤k≤p(θk+1-θk),provided that f^(l)(z)(0≤l<+∞）has a finite nonzero deficient value.

DISTRIBUTION OF THE ${\boldkey (}{\boldkey 0},{\boldsymbol \infty}{\boldkey )}$ ACCUMULATIVE LINES OF MEROMORPHIC FUNCTIONS

Suppose that $f(z)$ is a meromorphic function of order $\la\, (0<\la<+\i)$ and of lower order $\mu$ in the plane. Let $\rho$ be a positive number such that $\mu\le \rho\le\la.$ (1) If $f^{(l)}(z)\, (0\le l < +\i)$ has $p\, (1\le p<+\i)$ finite nonzero deficient values $a_i\,(i=1,\cdots, p)$ with deficiencies $\delta(a_i, f^{(l)})$, then $f(z)$ has a $(0,\i)$ accumulative line of order $\ge \rho$ in any angular domain whose vertex is at the origin and whose magnitude is larger than $$\max \left ({\frac \pi \rho},2\pi-{4\over \rho}\sum_{i=1}^p \arcsin \sqrt{\frac {\delta(a_i,f^{(l)})} 2}\right ). $$ (2) If $f(z)$ has only $p\,(0