• 제목/요약/키워드: delay-differential polynomial

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ZERO DISTRIBUTION OF SOME DELAY-DIFFERENTIAL POLYNOMIALS

  • Laine, Ilpo;Latreuch, Zinelaabidine
    • 대한수학회보
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    • 제57권6호
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    • pp.1541-1565
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    • 2020
  • Let f be a meromorphic function of finite order ρ with few poles in the sense Sλ(r, f) := O(rλ+ε) + S(r, f), where λ < ρ and ε ∈ (0, ρ - λ), and let g(f) := Σkj=1bj(z)f(kj)(z + cj) be a linear delay-differential polynomial of f with small meromorphic coefficients bj in the sense Sλ(r, f). The zero distribution of fn(g(f))s - b0 is considered in this paper, where b0 is a small function in the sense Sλ(r, f).