Distribution of zeros and shared values of difference operators

• Autorzy: Jilong Zhang , Zongsheng Gao , Sheng Li
• Języki publikacji: EN

Abstrakty

EN

We investigate the distribution of zeros and shared values of the difference operator on meromorphic functions. In particular, we show that if f is a transcendental meromorphic function of finite order with a small number of poles, c is a non-zero complex constant such that $Δ^k_cf ≠ 0$ for n ≥ 2, and a is a small function with respect to f, then $fⁿΔ^k_cf$ equals a (≠ 0,∞) at infinitely many points. Uniqueness of difference polynomials with the same 1-points or fixed points is also proved.

Kategorie tematyczne

• 39A05: General theory
• 30D35: Distribution of values, Nevanlinna theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2011
• Tom: 102
• Numer: 3
• Strony: 213-221

Daty

wydano

2011

Twórcy

autor

Jilong Zhang

• LMIB and School of Mathematics & Systems Science, Beihang University, Beijing, 100191, P.R. China

autor

Zongsheng Gao

• Beihang University, LMIB and School of Mathematics & Systems Science, Beijing, 100191, P.R. China

autor

Sheng Li

• College of Science, Guangdong Ocean University, Zhanjiang, Guangdong, 524008, P.R. China

Identyfikatory

DOI

10.4064/ap102-3-2