Results 31 to 40 of about 10,211,419 (281)
Mathematics Open, 2022 Let [Formula: see text] be a complete ultrametric algebraically closed field of characteristic 0, let D be the open disk [Formula: see text] and let [Formula: see text].
Alain Escassut
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Difference analogue of the Lemma on the Logarithmic Derivative with applications to difference equations [PDF]
, 2005 The Lemma on the Logarithmic Derivative of a meromorphic function has many applications in the study of meromorphic functions and ordinary differential equations.
Halburd, R. G., Korhonen, R. J.
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On a Certain Subclass of Meromorphic Functions Defined by a New Linear Differential Operator
Journal of Mathematical and Fundamental Sciences, 2017 In this article, a new linear differential operator I^k (L_s^a (a_l,b_m )f(z)) is defined by using the Hadamard product of the q-hypergeometric function and a function related to the Hurwitz-Lerch zeta function. By using this linear differential operator,
Khalid Challab +2 more
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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 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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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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Zeros of the derivative of a p-adic meromorphic function and applications
, 2012 Let K be a complete algebraically closed field of characteristic 0 and let f be a transcendental meromorphic function in K . A conjecture suggests that f ′ takes every values infinitely many times, what was proved when f has finitely many multiple poles.
K. Boussaf, A. Escassut, J. Ojeda
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Iteration of meromorphic functions [PDF]
Bulletin of the American Mathematical Society, 1993 This paper attempts to describe some of the results obtained in the iteration theory of transcendental meromorphic functions, not excluding the case of entire functions. The reader is not expected to be familiar with the iteration theory of rational functions.
openaire +4 more sources
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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