On the value distribution of differential polynomials of meromorphic functions

• Autorzy: Yan Xu , Huiling Qiu
• Języki publikacji: EN

Abstrakty

EN

Let f be a transcendental meromorphic function of infinite order on ℂ, let k ∈ ℕ and $φ = Re^P$, where R ≢ 0 is a rational function and P is a polynomial, and let $a₀, a₁,...,a_{k-1}$ be holomorphic functions on ℂ. If all zeros of f have multiplicity at least k except possibly finitely many, and $f = 0 ⇔ f^{(k)} + a_{k-1}f^{(k-1)} + ⋯ + a₀f = 0$, then $f^{(k)} + a_{k-1}f^{(k-1)} + ⋯ + a₀f - φ$ has infinitely many zeros.

Kategorie tematyczne

• 30D35: Distribution of values, Nevanlinna theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2010
• Tom: 98
• Numer: 3
• Strony: 283-289

Daty

wydano

2010

Twórcy

autor

Yan Xu

• Department of Mathematics, Nanjing Normal University, Nanjing 210046, P.R. China

autor

Huiling Qiu

• Department of Applied Mathematics, Nanjing Audit University, Nanjing 210029, P.R. China

Identyfikatory

DOI

10.4064/ap98-3-7