The Experts below are selected from a list of 7680 Experts worldwide ranked by ideXlab platform
J K Langley - One of the best experts on this subject based on the ideXlab platform.
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transcendental singularities for a Meromorphic Function with logarithmic derivative of finite lower order
Computational Methods and Function Theory, 2019Co-Authors: J K LangleyAbstract:It is shown that two key results on transcendental singularities for Meromorphic Functions of finite lower order have refinements which hold under the weaker hypothesis that the logarithmic derivative has finite lower order.
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transcendental singularities for a Meromorphic Function with logarithmic derivative of finite lower order
arXiv: Complex Variables, 2018Co-Authors: J K LangleyAbstract:In this note it is shown that two key results on transcendental singularities for Meromorphic Functions of finite lower order have refinements which hold under the weaker hypothesis that the logarithmic derivative has finite lower order.
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the schwarzian derivative and the wiman valiron property
Journal D Analyse Mathematique, 2016Co-Authors: J K LangleyAbstract:Consider a transcendental Meromorphic Function in the plane with finitely many critical values, such that the multiple points have bounded multiplicities and the inverse Function has finitely many transcendental singularities. Using the Wiman-Valiron method it is shown that if the Schwarzian derivative is transcendental then the Function has infinitely many multiple points, the inverse Function does not have a direct transcendental singularity over infinity, and infinity is not a Borel exceptional value. The first of these conclusions was proved by Nevanlinna and Elfving via a fundamentally different method.
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the schwarzian derivative and the wiman valiron property
arXiv: Complex Variables, 2013Co-Authors: J K LangleyAbstract:Suppose that a transcendental Meromorphic Function in the plane has finitely many critical values, while its multiple points have bounded multiplicities, and its inverse Function has finitely many transcendental singularities. Using the Wiman-Valiron method it is shown that the Schwarzian derivative does not have a direct transcendental singularity over infinity, and does not have infinity as a Borel exceptional value.
Maslina Darus - One of the best experts on this subject based on the ideXlab platform.
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on Meromorphic Functions defined by a new operator containing the mittag leffler Function
Symmetry, 2019Co-Authors: Suhila Elhaddad, Maslina DarusAbstract: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. Additionally, the study explores various properties and features, such as convex properties, distortion, growth, coefficient inequality and radii of starlikeness. Finally, the work discusses closure theorems and extreme points.
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on new p valent Meromorphic Function involving certain differential and integral operators
Abstract and Applied Analysis, 2014Co-Authors: Aabed Mohammed, Maslina DarusAbstract:We define new subclasses of Meromorphic -valent Functions by using certain differential operator. Combining the differential operator and certain integral operator, we introduce a general -valent Meromorphic Function. Then we prove the sufficient conditions for the Function in order to be in the new subclasses.
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a new subclass of Meromorphic Function with positive and fixed second coefficients
Tamkang Journal of Mathematics, 2013Co-Authors: S Sivasubramanian, N Magesh, Maslina DarusAbstract:In this paper we introduce and study a subclass $\mathcal{M}_{P}(\alpha, \lambda, c)$ of Meromorphic univalent Functions. We obtain coefficient estimates, extreme points, growth and distortion bounds, radii of Meromorphically starlikeness and Meromorphically convexity for the class $\mathcal{M}_{P}(\alpha, \lambda, c)$ by fixing the second coefficient. Further, it is shown that the class $\mathcal{M}_{P}(\alpha, \lambda, c)$ is closed under convex linear combination.
Aabed Mohammed - One of the best experts on this subject based on the ideXlab platform.
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on new p valent Meromorphic Function involving certain differential and integral operators
Abstract and Applied Analysis, 2014Co-Authors: Aabed Mohammed, Maslina DarusAbstract:We define new subclasses of Meromorphic -valent Functions by using certain differential operator. Combining the differential operator and certain integral operator, we introduce a general -valent Meromorphic Function. Then we prove the sufficient conditions for the Function in order to be in the new subclasses.
Lianzhong Yang - One of the best experts on this subject based on the ideXlab platform.
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uniqueness and value distribution for difference operators of Meromorphic Function
Advances in Difference Equations, 2012Co-Authors: Jia Dou, Lianzhong YangAbstract: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).
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value sharing results of a Meromorphic Function f z and f qz
Bulletin of The Korean Mathematical Society, 2011Co-Authors: Kai Liu, Lianzhong YangAbstract:In this paper, we investigate sharing value problems related to a Meromorphic Function f ( z) and f ( qz), where q is a non-zero constant. It is shown, for instance, that if f ( z) is zero-order and shares two valves CM and one value IM with f ( qz), then f ( z) = f ( qz).
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Meromorphic Function that shares one small Function with its differential polynomial
Kyungpook Mathematical Journal, 2010Co-Authors: Lianzhong YangAbstract:In this paper, we investigate the uniqueness problems of Meromorphic Functions that share a small Function with its differential polynomials, and give a result which is related to a conjecture of R. Brck and improve the results of I. Lahiri and Q. C. Zhang.
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a power of a Meromorphic Function sharing a small Function with its derivative
2009Co-Authors: Jilong Zhang, Lianzhong YangAbstract:In this paper, we investigate uniqueness problems of Meromorphic Functions that share a small Function with one of their derivatives, and give some results which are related to a conjecture of Bruck, and also improve several previous results. 1. Introduction and results
Tomoki Kawahira - One of the best experts on this subject based on the ideXlab platform.
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the riemann hypothesis and holomorphic index in complex dynamics
Experimental Mathematics, 2018Co-Authors: Tomoki KawahiraAbstract:ABSTRACTWe present an interpretation of the Riemann hypothesis in terms of complex and topological dynamics. For example, the Riemann hypothesis is true and all zeros of the Riemann zeta Function are simple if and only if a Meromorphic Function that is explicitly given in this note has no attracting fixed point. To obtain this, we use the holomorphic index (residue fixed point index) that characterizes the local properties of the fixed points in complex dynamics.
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the riemann hypothesis and holomorphic index in complex dynamics
arXiv: Dynamical Systems, 2016Co-Authors: Tomoki KawahiraAbstract:We give an interpretation of the Riemann hypothesis in terms of complex and topological dynamics. For example, the Riemann hypothesis is affirmative and all zeros of the Riemann zeta Function are simple if and only if a certain Meromorphic Function has no attracting fixed point. To obtain this, we use holomorphic index (residue fixed point index), which characterizes local properties of fixed points in complex dynamics.
