Results 21 to 30 of about 31,711 (201)

Hausdorff dimension of escaping sets of meromorphic functions

, 2020
We give a complete description of the possible Hausdorff dimensions of escaping sets for meromorphic functions with a finite number of singular values. More precisely, for any given $d\in [0,2]$ we show that there exists such a meromorphic function for ...
Aspenberg, Magnus, Cui, Weiwei
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A note on power of meromorphic function and its shift operator of certain hyper-order sharing one small function and a value

Математичні Студії, 2021
In this article, we obtain two results on $n$ the power of a meromorphic function and its shift operator sharing a small function together with a value which improve and complement some earlier results.
A. Banerjee, A. Roy
doaj   +1 more source

A power of a meromorphic function sharing two small functions with a derivative of the power [PDF]

Mathematica Bohemica, 2022
In connection to a conjecture of W. Lü, Q. Li and C. Yang (2014), we prove a result on small function sharing by a power of a meromorphic function with few poles with a derivative of the power. Our results improve a number of known results.
Lahiri Indrajit, Sujoy Majumder
doaj   +1 more source

Nonvanishing Meromorphic Univalent Functions [PDF]

Proceedings of the American Mathematical Society, 1988
This note studies the best constants s s such that the function k ( z ) = z + 2 + 1 / z k(z) = z + 2 + 1/z solves the linear coefficient problems max Re ⁡ { s
Abu-Muhanna, Yusuf, Schober, Glenn
openaire   +2 more sources

A note on an extension of Lindelöf's theorem to meromorphic functions

International Journal of Mathematics and Mathematical Sciences, 1983
S. M. Shah [3] has given an extension of Lindelöf's Theorem to meromorphic functions. He also obtained an expression for the characteristic function of a meromorphic function of integer order.
Mohammad Salmassi
doaj   +1 more source

On New p-Valent Meromorphic Function Involving Certain Differential and Integral Operators

Abstract and Applied Analysis, 2014
We define new subclasses of meromorphic p-valent functions by using certain differential operator. Combining the differential operator and certain integral operator, we introduce a general p-valent meromorphic function.
Aabed Mohammed, Maslina Darus
doaj   +1 more source

On the Complex Oscillation of Meromorphic Solutions of Nonhomogeneous Linear Differential Equations with Meromorphic Coefficients

Discrete Dynamics in Nature and Society, 2020
In this paper, we study the higher order differential equation fk+Bf=H, where B is a rational function, having a pole at ∞ of order n>0, and H≡0 is a meromorphic function with finite order, and obtain some properties related to the order and zeros of its
Chuang-Xin Chen, Ning Cui, Zong-Xuan Chen   +2 more
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Exceptional values of p-adic analytic functions and derivatives [PDF]

, 2011
International audienceLet $K$ be an algebraically closed field of characteristic $0$, complete with respect to an ultrametric absolute value $|\ . \ |$. Given a meromorphic function $f$ in $K$ (resp.
Escassut, Alain, Ojeda, Jacqueline
core   +2 more sources

An Inequality of Meromorphic Functions and Its Application

The Scientific World Journal, 2014
By applying Ahlfors theory of covering surface, we establish a fundamental inequality of meromorphic function dealing with multiple values in an angular domain.
Zhaojun Wu, Yuxian Chen, Zuxing Xuan
doaj   +1 more source

Orbit Growth of Shift Spaces Induced by Bouquet Graphs and Dyck Shifts

Mathematics, 2021
For a discrete dynamical system, the prime orbit and Mertens’ orbit counting functions describe the growth of its closed orbits in a certain way. The asymptotic behaviours of these counting functions can be determined via Artin–Mazur zeta function of the
Azmeer Nordin, Mohd Salmi Md Noorani
doaj   +1 more source