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| A Fundamental Inequality and Its Application |
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Citation： |
Yang Le.A Fundamental Inequality and Its Application[J].Chinese Annals of Mathematics B,1983,4(3):347~354 |
| Page view： 812
Net amount： 780 |
Authors： |
Yang Le; |
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| Abstract： |
Let f(z) be meromorphic in |z|k+4+[\frac{2}{k}] In this note, a fundamental inequality is established such that the characreristic function T(r, f)can be limited by N (r,\frac{1}{f}) and $[{\bar N_{\tau - 1}}(r,\frac{1}{{{f^{(k)}} - 1}})\]$. As an
application, the following criterion for normality is also proved: Let F be a family of meromorphic functions in a region D. If for every f(z)\in F,f(z)\ne 0 and all the zeros of $f^(k)(z)-1$ are of multiplicity >k+4+[\frac{2}{k}] in D, then F is normal there. |
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