On a functional equation. (Short Communication).
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K. Niino (1981)
Aequationes mathematicae
Xiao-Min Li, Cun-Chen Gao (2006)
Annales Polonici Mathematici
We prove a theorem on the growth of a solution of a kth-order linear differential equation. From this we obtain some uniqueness theorems. Our results improve several known results. Some examples show that the results are best possible.
W. K. Hayman (1981)
Annales Polonici Mathematici
Hiroshi Haruki (1972)
Colloquium Mathematicae
(2015)
Banach Center Publications
Several sets of quaternionic functions are described and studied with respect to hyperholomorphy, addition and (non-commutative) multiplication, on open sets of ℍ, then Hamilton 4-manifolds analogous to Riemann surfaces, for ℍ instead of ℂ, are defined, and so begin to describe a class of four-dimensional manifolds.
Sujoy Majumder, Rajib Mandal (2018)
Archivum Mathematicum
The motivation of this paper is to study the uniqueness of meromorphic functions sharing a nonzero polynomial with the help of the idea of normal family. The result of the paper improves and generalizes the recent result due to Zhang and Xu [24]. Our another remarkable aim is to solve an open problem as posed in the last section of [24].
J.H. Loxton, A.J. van der Poorten (1976)
Aequationes mathematicae
J.H. Loxton, A.J. van der Poorten (1976)
Aequationes mathematicae
Mikio Niimura (1979)
Monatshefte für Mathematik
Shamoyan, R.F. (2003)
Sibirskij Matematicheskij Zhurnal
Kim, Yong Chang, Lee, Sang Hun, Owa, Shigeyoshi (1993)
International Journal of Mathematics and Mathematical Sciences
B.Q. Li, Der-Chan Chang, C.-C. Yang (1995)
Forum mathematicum
Núria Fagella, Xavier Jarque, Jordi Taixés (2011)
Fundamenta Mathematicae
Following the attracting and preperiodic cases, in this paper we prove the existence of weakly repelling fixed points for transcendental meromorphic maps, provided that their Fatou set contains a multiply connected parabolic basin. We use quasi-conformal surgery and virtually repelling fixed point techniques.
R. GOLDSTEIN (1973)
Aequationes mathematicae
E. Ciechanowicz, I. I. Marchenko (2007)
Annales Polonici Mathematici
Let f be a transcendental entire function of finite lower order, and let be rational functions. For 0 < γ < ∞ let B(γ):= πγ/sinπγ if γ ≤ 0.5, B(γ):= πγ if γ > 0.5. We estimate the upper and lower logarithmic density of the set .
Ivić, A., Mijajlović, Ž. (1995)
Publications de l'Institut Mathématique. Nouvelle Série
Aksent'eva, E.P., Garif'yanov, F.N. (2002)
Sibirskij Matematicheskij Zhurnal
Hong-Yan Xu, Xiu-Min Zheng, Hua Wang (2016)
Open Mathematics
In this article, we study the uniqueness problem of meromorphic functions in m-punctured complex plane Ω and obtain that there exist two sets S1, S2 with ♯S1 = 2 and ♯S2 = 9, such that any two admissible meromorphic functions f and g in Ω must be identical if f, g share S1, S2 I M in Ω.
Chung-Chun Yang (1971)
Mathematische Zeitschrift
Fred Gross, Chung-Chun Yang (1973)
Annales Polonici Mathematici
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