Further study on the Brück conjecture and some non-linear complex differential equations [PDF]
Arab Journal of Mathematical Sciences, 2021 Purpose – The purpose of this current paper is to deal with the study of non-constant entire solutions of some non-linear complex differential equations in connection to Brück conjecture, by using the theory of complex differential equation.
Dilip Chandra Pramanik, Kapil Roy
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Some results about a special nonlinear difference equation and uniqueness of difference polynomial [PDF]
Journal of Inequalities and Applications, 2011 In this paper, we continue to study a special nonlinear difference equation solutions of finite order entire function. We also continue to investigate the value distribution and uniqueness of difference polynomials of meromorphic functions.
Ding Jie, Zhu Taiying, Qi Jianming
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Growth properties of solutions of linear difference equations with coefficients having $\varphi$-order [PDF]
, 2023 In this paper, we investigate the relations between the growth of entire coefficients and that of solutions of complex homogeneous and non-homogeneous linear difference equations with entire coefficients of φ-order by using a slow growth scale, the φ ...
Pulak Sahoo +3 more
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Equipolar meromorphic functions sharing a set [PDF]
, 2021 Two meromorphic functions f and g having the same set of poles are known as equipolar. In this paper we study some uniqueness results of equipolar meromorphic functions sharing a finite set and improve some recent results of Bhoosnurmath-Dyavanal [4] and
SARKAR, Arindam
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Linear delay-differential operator of a meromorphic function sharing two sets or small function together with values with its c-shift or q-shift [PDF]
, 2023 The paper is devoted to study the unique problem of linear delay- differential operator of a meromorphic function sharing two sets or small function together with values with its c-shift and q-shift operator. Results of this paper drastically improve two
ROY, Arpita, BANERJEE, Abhijit
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Meromorphic function sharing entire functions IM with its first derivative [PDF]
, 2021 In this paper, we use the idea of normal family to investigate the problem of meromorphic function having finitely many poles that share entire functions IM with its first derivative.
Sarkar, Jeet, Majumder, Sujoy
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Power of a meromorphic function that share a set with its derivative [PDF]
, 2018 In this article, we deal with the problem of the uniqueness of the power of a meromorphic function with its derivative counterpart sharing a set and thus improve our recent result under some constraints.
CHAKRABORTY, Bikash
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Linear differential polynomials in zero-free meromorphic functions [PDF]
, 2018 The paper determines all meromorphic functions f in C such that f and F have finitely many zeros, where F = f (k) + ak−1f(k−1)+ ... + a0f with k ≥ 3 and the aj rational functions.
James K. Langley +2 more
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On the growth of solutions of second order complex differential equation with meromorphic coefficients [PDF]
, 2012 We consider the differential equation f'' + Af' + Bf = 0 where A(z) and B(z) a parts per thousand cent 0 are mero-morphic functions. Assume that A(z) belongs to the Edrei-Fuchs class and B(z) has a deficient value a, if f a parts per ...
Wu, Shengjian +5 more
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Uniqueness of meromorphic functions sharing two finite sets
Open Mathematics, 2017 We prove uniqueness theorems of meromorphic functions, which show how two meromorphic functions are uniquely determined by their two finite shared sets. This answers a question posed by Gross.
Chen Jun-Fan
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