[PDF] Top 20 Fixed points of differences of meromorphic functions
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Fixed points of differences of meromorphic functions
... transcendental meromorphic function in the ...fixed points. In this paper, we shall study the fixed points of the differences of meromorphic ... See full document
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Classes of multivalent analytic and meromorphic functions with two fixed points
... are the well-known classes of δ-starlike functions of order γ and δ-uniformly convex func- tions of order γ , respectively. In particular, the classes UCV := UCV(, ), δ – UCV := UCV(δ, ) were introduced by ... See full document
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On zeros and deficiencies of differences of meromorphic functions
... The following lemma contains a basic property of meromorphic functions of finite order. Lemma . ([]) Let f (z) be a meromorphic function with ρ(f ) < ∞. Then, for given real constants c > ... See full document
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Normality Criteria of a Class of Meromorphic Functions Concerning Shared Fixed-points
... Theorem 1.5 Let F be a family of meromorphic functions defined in a domain D . Let n, k ≥ 2, d be three positive integers. For every f ∈ F , all of whose zeros have multiplicity at least max { n+d nk+2 − 2 ... See full document
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13. Meromorphic functions that share fixed points with finite weights
... Theorem 1.2. Let 𝑓 and 𝑔 be two transcendental meromorphic functions, and let 𝑛, 𝑘 and 𝑚 be three positive integers. Let 𝑃 (𝑧) be defined as in Theorem H. Let [𝑓 𝑛 𝑃 (𝑓 )] (𝑘) and [𝑔 𝑛 𝑃 (𝑔)] (𝑘) share (𝑧, ... See full document
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Uniqueness of meromorphic functions sharing two values
... We recall the following result by Xu et al. [25] or Zhang and Li [26], respectively. Theorem D. Let f be a transcendental meromorphic function, n(≤ 2), k be two posi- tive integers. Then f n f (k) takes every ... See full document
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8. Growth and fixed-points of meromorphic solutions of higher-order nonhomogeneous linear differential equations
... of meromorphic functions (see [21, 25]). The term “meromorphic function” will mean meromorphic in the whole complex plane C ...a meromorphic function f (z), λ(f ) to denote the ... See full document
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One Dimensional Hurwitz Spaces, Modular Curves, and Real Forms of Belyi Meromorphic Functions
... First of all we need to know the degree of π. The degree of π is the number of different meromorphic functions f : S → C of degree p that are dihedral irregular coverings branched on four fixed ... See full document
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Zeros and fixed points of the linear combination of shifts of a meromorphic function
... In this article, a function is called meromorphic if it is analytic in the whole complex plane except at possible isolated poles. We assume that readers are familiar with the basic results and notations of the ... See full document
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Growth and fixed points of meromorphic solutions of nonhomogeneous linear differential equations
... fixed points of general transcendental meromorphic functions (see ...fixed points of solutions of the differential ...fixed points of solutions of second-order linear differential equations ... See full document
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Generalization of Uniqueness Theorems for Entire and Meromorphic Functions
... g z − α z assume the same zeros with the same multiplicities, then we say f z ( ) and g z ( ) share α ( ) z CM, especially we say that f z ( ) and g z ( ) have the same fixed-points when α ( ) z = z . It is ... See full document
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Meromorphic parabolic starlike functions with a fixed point involving Srivastava-Attiya operator
... The study of operators plays a vital role in the geometric function theory and its associated fields. Many differential and integral operators can be written in terms of convolution of certain analytic functions. ... See full document
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Normal families of meromorphic functions sharing one function
... of meromorphic functions in D, the multiplicity of all zeros and poles of f ∈ F is at least max { k + d + , k + ...of functions f and g in F, ff (k) and gg (k) share p(z) in D, then F is normal in ... See full document
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On the Set of Fixed Points and Periodic Points of Continuously Differentiable Functions
... periodic points of self-maps of intervals has been studied for different ...The functions with smaller sets of periodic points are more likely not to share a periodic ...periodic points of ... See full document
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On Starlike and Convex Functions with Respect to 𝑘 Symmetric Points
... Darus, “On harmonic univalent functions with respect to k-symmetric points,” International Journal of Contemporary Mathematical Sciences, vol.. Darus, “On meromorphic harmonic functions [r] ... See full document
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A Linear Operator of a New Class of Meromorphic Multivalent Functions
... of meromorphic multivalent functions defined by linear derivative ...extreme points, distortion and covering theorem, -neighborhoods, partial sums and arithmetic ... See full document
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On common fixed and periodic points of commuting functions
... It is known that two commuting continuous functions on an interval need not have a common fixed point... It is not known if such two functions have.[r] ... See full document
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15. On certain subclass of meromorphic harmonic functions with fixed residue $\alpha$
... tortion theorem, coefficient problems, linear combinations for certain subclass of meromorphic harmonic functions with positive coefficients1. Harmonic function, Meromorphic function, meromo[r] ... See full document
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Uniqueness of Meromorphic Functions Whose Differential Polynomials Share One Value
... of meromorphic functions whose some nonlinear differential shares 1 IM with powers of the meromor- phic functions, where the degrees of the powers are equal to those of the non- linear differential ... See full document
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Uniqueness of Meromorphic Functions with Their Nonlinear Differential Polynomials Share a Small Function
... Abstract In this paper we deal with the uniqueness of meromorphic functions when two nonlinear differential polynomials generated by two meromorphic functions share a small function.. Ke[r] ... See full document
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