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- W4288409512 abstract "Let $f$ be a transcendental meromorphic function defined in the complex plane $mathbb{C}$, and $varphi(notequiv 0,infty)$ be a small function of $f$. In this paper, We give a quantitative estimation of the characteristic function $T(r, f)$ in terms of $Nleft(r,frac{1}{M[f]-varphi(z)}right)$ as well as $ol{N}left(r,frac{1}{M[f]-varphi(z)}right)$, where $M[f]$ is the differential monomial, generated by $f$.par Moreover, we prove one normality criterion: Let $mathscr{F}$ be a family of analytic functions on a domain $D$ and let $k(geq1)$, $q_{0}(geq 3)$, $q_{i}(geq0)$ $(i=1,2,ldots,k-1)$, $q_{k}(geq1)$ be positive integers. If for each $fin mathscr{F}$, $f$ has only zeros of multiplicity at least $k$, and $f^{q_{0}}(f')^{q_{1}}...(f^{(k)})^{q_{k}}not=1$, then $mathscr{F}$ is normal on domain $D$." @default.
- W4288409512 created "2022-07-29" @default.
- W4288409512 creator A5014235961 @default.
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- W4288409512 date "2019-03-24" @default.
- W4288409512 modified "2023-10-17" @default.
- W4288409512 title "On the value distribution of a Differential Monomial and some normality criteria" @default.
- W4288409512 doi "https://doi.org/10.48550/arxiv.1903.10940" @default.
- W4288409512 hasPublicationYear "2019" @default.
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