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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The Univalent Function Created by the Meromorphic Functions Where Defined on the Period Lattice
Communications in Advanced Mathematical Sciences, 2019 The function $ \xi(z)$ is obtained from the logarithmic derivative function $\sigma(z)$. The elliptic function $ \wp(z) $ is also derived from the $ \xi(z) $ function.
Hasan Sahin, İsmet Yıldız
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On Some Classes with Norms of Meromorphic Function Spaces Defined by General Spherical Derivatives
Journal of Mathematics, 2021 The main concerned target of this article is to define and study some concerned classes of meromorphic function spaces using the general spherical derivatives.
A. El-Sayed Ahmed, S. Attia Ahmed
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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
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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
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Uniqueness and value distribution for difference operators of meromorphic function
, 2012 We investigate the value distribution of difference operator for meromorphic functions. In addition, we study the sharing value problems related to a meromorphic function f (z) and its shift f (z + c).
X. Qi, Jia Dou, Lian-Zhong Yang
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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
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Hayman's classical conjecture on some nonlinear second order algebraic ODEs [PDF]
, 2015 In this paper, we study the growth, in terms of the Nevanlinna characteristic function, of meromorphic solutions of three types of second order nonlinear algebraic ordinary differential equations.
Conte, Robert +2 more
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Partial Sums of Certain Classes of Meromorphic Functions Related to the Hurwitz-Lerch Zeta Function
, 2015 In the present paper, we give sufficient conditions for a function f to be in the subclasses $$ \sum S_{a,s}^*(A,\,B,\,\alpha ,\,\beta ) $$ and $$ \sum {\kappa _{a,\,s}}(A,\,B,\,\alpha ,\,\beta ) $$ of the class Σ of meromorphic functions which are ...
H. Srivastava, S. Gaboury, F. Ghanim
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Unicity of Meromorphic Function Sharing One Small Function with Its Derivative
International Journal of Mathematics and Mathematical Sciences, 2010 We deal with the problem of uniqueness of a meromorphic function sharing one small function with its k's derivative and obtain some results.
Ang Chen, Xiuwang Wang, Guowei Zhang
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