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A note on an extension of Lindelöf's theorem to meromorphic functions
International Journal of Mathematics and Mathematical Sciences, 1983 S. M. Shah [3] has given an extension of Lindelöf's Theorem to meromorphic functions. He also obtained an expression for the characteristic function of a meromorphic function of integer order.
Mohammad Salmassi
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On New p-Valent Meromorphic Function Involving Certain Differential and Integral Operators
Abstract and Applied Analysis, 2014 We define new subclasses of meromorphic p-valent functions by using certain differential operator. Combining the differential operator and certain integral operator, we introduce a general p-valent meromorphic function.
Aabed Mohammed, Maslina Darus
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Discrete Dynamics in Nature and Society, 2020 In this paper, we study the higher order differential equation fk+Bf=H, where B is a rational function, having a pole at ∞ of order n>0, and H≡0 is a meromorphic function with finite order, and obtain some properties related to the order and zeros of its
Chuang-Xin Chen +2 more
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An Inequality of Meromorphic Functions and Its Application
The Scientific World Journal, 2014 By applying Ahlfors theory of covering surface, we establish a fundamental inequality of meromorphic function dealing with multiple values in an angular domain.
Zhaojun Wu, Yuxian Chen, Zuxing Xuan
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Orbit Growth of Shift Spaces Induced by Bouquet Graphs and Dyck Shifts
Mathematics, 2021 For a discrete dynamical system, the prime orbit and Mertens’ orbit counting functions describe the growth of its closed orbits in a certain way. The asymptotic behaviours of these counting functions can be determined via Artin–Mazur zeta function of the
Azmeer Nordin, Mohd Salmi Md Noorani
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Properties of Meromorphic Spiral-Like Functions Associated with Symmetric Functions
Journal of Function Spaces, 2022 To consolidate or adapt to many studies on meromorphic functions, we define a new subclass of meromorphic functions of complex order involving a differential operator.
Daniel Breaz +3 more
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On Meromorphic Harmonic Functions Associated with the Polylogarithm Function
MathematicsThis paper examines the relationship between the classical polylogarithm function and meromorphic harmonic univalent mappings. Using a convolution operator derived from the polylogarithm function, we define a class of harmonic meromorphic functions and ...
Huda Ali Aldweby
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ON CLUSTER SETS OF MEROMORPHIC FUNCTIONS [PDF]
Proceedings of the National Academy of Sciences, 1966 and we let W denote the extended w-plane. Classical theorems of W. Gross and F. Iversen state that the boundary of C is contained in Cr, and any point of the open set CCr that is not in R is in A; moreover, R covers CCr with the possible exception of at most two points, and if there are two exceptional points, then R is W minus these two points (see [1]
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Value Distribution and Uniqueness Results of Zero-Order Meromorphic Functions to Their q-Shift
Discrete Dynamics in Nature and Society, 2012 We investigate value distribution and uniqueness problems of meromorphic functions with their q-shift. We obtain that if f is a transcendental meromorphic (or entire) function of zero order, and Q(z) is a polynomial, then afn(qz)+f(z)−Q(z) has infinitely
Haiwa Guan, Gang Wang, Qiuqin Luo
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Meromorphic function sharing a small function with a linear differential polynomial [PDF]
Mathematica Bohemica, 2016 The problem of uniqueness of an entire or a meromorphic function when it shares a value or a small function with its derivative became popular among the researchers after the work of Rubel and Yang (1977).
Indrajit Lahiri, Amit Sarkar
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