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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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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
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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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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
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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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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
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