Results 71 to 80 of about 10,733,006 (284)
The derivative of a meromorphic function [PDF]
Proceedings of the American Mathematical Society, 1956 1. It has been shown by Valiron [2] and Whittaker [3] that the derivative of a meromorphic function of finite order is of the same order as the function itself. This result, as pointed out by Whittaker, is equivalent to the following. THEOREM. If f (z) and g(z) are two integral functions of orders Pi and P2 with pl > p2, then f '(z)g(z) -f (z)g'(z) is ...
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Growth Properties of Wronskians in the Light of Relative Order
International Journal of Analysis and Applications, 2014 In this paper we study the comparative growth properties of composition of entire and meromorphic functions on the basis of relative order (relative lower order) of Wronskians generated by entire and meromorphic functions.
Sanjib Kumar Datta +2 more
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An Inequality of Meromorphic Vector Functions and Its Application
Abstract and Applied Analysis, 2011 Firstly, an inequality for vector-valued meromorphic functions is established which extend a corresponding inequality of Milloux for meromorphic scalar-valued function (1946).
Wu Zhaojun, Chen Yuxian
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Fuzzy Differential Subordination for Meromorphic Function Associated with the Hadamard Product
Axioms, 2023 This paper is related to fuzzy differential subordinations for meromorphic functions. Fuzzy differential subordination results are obtained using a new operator which is the combination Hadamard product and integral operator for meromorphic function.
Sheza M. El-Deeb, Alina Alb Lupaş
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On the boundary of an immediate attracting basin of a hyperbolic entire function
Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.Abstract Let f$f$ be a transcendental entire function of finite order which has an attracting periodic point z0$z_0$ of period at least 2. Suppose that the set of singularities of the inverse of f$f$ is finite and contained in the component U$U$ of the Fatou set that contains z0$z_0$. Under an additional hypothesis, we show that the intersection of ∂U$\
Walter Bergweiler, Jie Ding
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Residues of functions of Cayley-Dickson variables and Fermat's last theorem [PDF]
, 2010 Function theory of Cayley-Dickson variables is applied to Fermat's last theorem. For this the homotopy theorem, Rouch\'e's theorem and residues of meromorphic functions over Cayley-Dickson algebras are used.
Ludkovsky, S. V.
core
Some Subclasses of Meromorphic Functions Associated with a Family of Integral Operators
Journal of Inequalities and Applications, 2009 Making use of the principle of subordination between analytic functions and a family of integral operators defined on the space of meromorphic functions, we introduce and investigate some new subclasses of meromorphic functions. Such results as inclusion
Zhi-Gang Wang, Zhi-Hong Liu, Yong Sun
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On the Uniqueness Results and Value Distribution of Meromorphic Mappings
Mathematics, 2017 This research concentrates on the analysis of meromorphic mappings. We derived several important results for value distribution of specific difference polynomials of meromorphic mappings, which generalize the work of Laine and Yang.
Rahman Ullah +4 more
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The Carlson‐type zero‐density theorem for the Beurling ζ$\zeta$ function
Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.Abstract In a previous paper, we proved a Carlson‐type density theorem for zeroes in the critical strip for the Beurling zeta functions satisfying Axiom A of Knopfmacher. There we needed to invoke two additional conditions: the integrality of the norm (Condition B) and an “average Ramanujan condition” for the arithmetical function counting the number ...
Szilárd Gy. Révész
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Bowen’s formula for meromorphic functions [PDF]
Ergodic Theory and Dynamical Systems, 2011 AbstractLetfbe an arbitrary transcendental entire or meromorphic function in the class 𝒮 (i.e. with finitely many singularities). We show that the topological pressureP(f,t) fort>0 can be defined as the common value of the pressuresP(f,t,z) for allz∈ℂ up to a set of Hausdorff dimension zero.
Krzysztof Barański +2 more
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