Finiteness of meromorphic functions on an annulus sharing four values regardless of multiplicity [PDF]
Mathematica Bohemica, 2020 This paper deals with the finiteness problem of meromorphic funtions on an annulus sharing four values regardless of multiplicity. We prove that if three admissible meromorphic functions $f_1$, $f_2$, $f_3$ on an annulus $\mathbb A({R_0})$ share four ...
Duc Quang Si, An Hai Tran
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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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A power of a meromorphic function sharing two small functions with a derivative of the power [PDF]
Mathematica Bohemica, 2022 In connection to a conjecture of W. Lü, Q. Li and C. Yang (2014), we prove a result on small function sharing by a power of a meromorphic function with few poles with a derivative of the power. Our results improve a number of known results.
Lahiri Indrajit, Sujoy Majumder
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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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The Univalent Function Created by the Meromorphic Functions Where Defined on the Period Lattice [PDF]
Communications in Advanced Mathematical Sciences, 2019 The function $ \xi(z)$ is obtained from the logarithmic derivative function $\sigma(z)$. The elliptic function $ \wp(z) $ is also derived from the $ \xi(z) $ function.
Hasan Sahin, İsmet Yıldız
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Meromorphic Functions Sharing a Small Function
Abstract and Applied Analysis, 2007 We will study meromorphic functions that share a small function, and prove the following result: let f(z) and g(z) be two transcendental meromorphic functions in the complex plane and let n≥11 be a positive integer. Assume that a(z)(≢0) is a common small
Songmin Wang, Zongsheng Gao
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Unicity Results Concerning of difference monomials of L-function and a meromorphic function [PDF]
Ratio MathematicaIn this paper, we study the value distribution of $\mathcal{L}$-function in the extend Selberg class and a non-constant transcendental meromorphic $\mathsf{f}$ function with finitely many zeros of finite order, sharing a polynomial with its difference ...
Harina Waghamore P, Roopa M.
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Unicity of Meromorphic Function Sharing One Small Function with Its Derivative [PDF]
International Journal of Mathematics and Mathematical Sciences, 2010 We deal with the problem of uniqueness of a meromorphic function sharing one small function with its k's derivative and obtain some results.
Ang Chen, Xiuwang Wang, Guowei Zhang
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Super-optimal approximation by meromorphic functions. [PDF]
, 1996 Let G be a matrix function of type m × n and suppose that G is expressible as the sum of an H∞ function and a continuous function on the unit circle. Suppose also that the (k – 1)th singular value of the Hankel operator with symbol G is greater than the ...
Young, N. J., Peller, V. V.
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TRANSCENDENTAL MEROMORPHIC SOLUTIONS OF SOME ALGEBRAIC DIFFERENTIAL EQUATIONS [PDF]
, 2007 In this paper we treat transcendental meromorphic solutions of some algebraic differential equations. We consider the number of distinct transcendental meromorphic solutions. Algebraic relations between meromorphic solutions and comparisons of the growth
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