Results 81 to 90 of about 36,756 (228)
Fractal and FractionalIn this paper, we defined a new family of meromorphic functions whose analytic characterization was motivated by the definition of the multiplicative derivative.
Daniel Breaz +2 more
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Uniqueness theorem on meromorphic functions and their difference operators
Advances in Difference Equations, 2018 In this paper, we study the uniqueness problems of meromorphic functions and their difference operators. Our main result is a difference analogue of a result of Jank–Mues–Volkmann, which is concerned with the uniqueness of an entire function sharing one ...
Dan Liu, Bingmao Deng, Mingliang Fang
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On the dimension of the boundaries of attracting basins of entire maps
Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.Abstract Let f:C→C$f:\mathbb{C}\to \mathbb{C}$ be a transcendental entire map from the Eremenko–Lyubich class B$\mathcal {B}$, and let ζ$\zeta$ be an attracting periodic point of period p$p$. We prove that the boundaries of components of the attracting basin of (the orbit of) ζ$\zeta$ have hyperbolic (and, consequently, Hausdorff) dimension larger than
Krzysztof Barański +4 more
wiley +1 more source
Karpatsʹkì Matematičnì Publìkacìï, 2018 Study of the growth analysis of entire or meromorphic functions has generally been done through their Nevanlinna's characteristic function in comparison with those of exponential function.
T. Biswas
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ON A CONJECTURE OF R. BRÜCK CONCERNING MEROMORPHIC FUNCTION SHARING SMALL FUNCTIONS
Revista de Matemática: Teoría y Aplicaciones, 2017 In this paper, we investigate the uniqueness problem on a conjecture of R. Brück concerning meromorphic function sharing the set of small functions with its derivative, and obtain some results which improve the theorems given by Zhang and Yang.
Hong Yan Xu, Cai Feng Yi, Hua Wang
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Algebraic values of meromorphic functions—II
Topology, 1965 AbstractWe continue the study of the possible distributions of numbers at which certain meromorphic functions take on algebraic values. In particular, a 1-parameter subgroup of a linear group or an abelian variety which contains sufficiently many algebraic points must itself be an algebraic subgroup.
openaire +2 more sources
On p-Valently Meromorphic-Strongly Starlike and Convex Functions
International Journal of Analysis and Applications, 2016 In this paper, we obtain sufficient conditions for analytic function $f(z)$ in the punctured unit disk to be $p$-valently meromorphic-strongly starlike and $p$-valently meromorphic-strongly convex of order $\beta$ and type $\alpha$.
Rahim Kargar, Ali Ebadian, Janusz Sokol
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Values shared by meromorphic functions and their derivatives
Arab Journal of Mathematical Sciences, 2016 In this paper we deal with the problem of uniqueness of meromorphic functions as well as their power which share a small function with their derivatives and obtain some results which improve and generalize the recent results due to Zhang and Yang (2009 ...
Sujoy Majumder
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Formal meromorphic functions on manifolds of finite type [PDF]
, 2008 Robert Juhlin +2 more
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