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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Meromorphically normal families and a meromorphic Montel-Carathéodory theorem [PDF]
Computational Methods and Function Theory (2022), 2018 In this paper, we present various sufficient conditions for a family of meromorphic mappings on a domain $D\subset \mathbb{C}^m$ into $\mathbb{P}^n$ to be meromorphically normal. Meromorphic normality is a notion of sequential compactness in the meromorphic category introduced by Fujimoto.
arxiv +1 more source
Simple sufficient conditions for starlikeness and convexity for meromorphic functions
Open Mathematics, 2016 In this paper we investigate some extensions of sufficient conditions for meromorphic multivalent functions in the open unit disk to be meromorphic multivalent starlike and convex of order α.
Goswami Pranay +2 more
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ON MULTIVALENT HARMONIC MEROMORPHIC FUNCTIONS INVOLVING HYPERGEOMETRIC FUNCTIONS [PDF]
المجلة العراقية للعلوم الاحصائية, 2011 In this paper we introduce a subclass of multivalent harmonic meromorphic functions defined in the exterior of the unit disk by using generalize hypergeometric functions.
ABDULRAHMAN SALMAN JUMA
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On Meromorphic Functions Defined by a New Operator Containing the Mittag-Leffler Function
Symmetry, 2019 This study defines a new linear differential operator via the Hadamard product between a q-hypergeometric function and Mittag–Leffler function. The application of the linear differential operator generates a new subclass of meromorphic function ...
Suhila Elhaddad, M. Darus
semanticscholar +1 more source
Invariant meromorphic functions on Stein spaces [PDF]
, 2010 In this paper we develop fundamental tools and methods to study meromorphic functions in an equivariant setup. As our main result we construct quotients of Rosenlicht-type for Stein spaces acted upon holomorphically by complex-reductive Lie groups and ...
Greb, Daniel, Miebach, Christian
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Meromorphic functions with missing coefficients defined by $q$-derivative [PDF]
Journal of Mahani Mathematical Research, 2023 By considering a fixed point in the punctured unit disk and using the $q$--derivative, a new subfamily of meromorphic and univalent functions is defined.
Shahram Najafzadeh +3 more
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Existence of meromorphic solutions of first order difference equations [PDF]
, 2018 It is shown that if It is shown that if \begin{equation}\label{abstract_eq} f(z+1)^n=R(z,f),\tag{\dag} \end{equation} where $R(z,f)$ is rational in $f$ with meromorphic coefficients and $\deg_f(R(z,f))=n$, has an admissible meromorphic solution ...
Korhonen, Risto, Zhang, Yueyang
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On total reality of meromorphic functions [PDF]
Annales de l’institut Fourier, 2007 13 ...
Degtyarev, A. +4 more
openaire +5 more sources
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.
core +3 more sources