• Honam Mathematical Journal
• /
• v.43 no.3
• /
• pp.513-522
• /
• 2021

In this current study, we aim to give some applications on fourth-order differential subordination for p-valent meromorphic functions in the region U^* = {z ∈ ℂ : 0 < |z| < 1} = U∖{0}, where U = {z ∈ ℂ : |z| < 1} , involving the linear operator 𝓛^*_pf. By making use of basic concepts in theory of the fourth-order, we find new outcomes.

• Kyungpook Mathematical Journal
• /
• v.58 no.4
• /
• pp.689-695
• /
• 2018

In this paper, we give some results on the zeros and fixed points of the difference and the divided difference of transcendental meromorphic functions. This improves on results of Langley.

• Korean Journal of Mathematics
• /
• v.26 no.4
• /
• pp.561-582
• /
• 2018

In this paper the growth properties of the composition of integer translated entire and meromorphic functions in terms of their (p, q)-th order are discussed and based upon that some new results are developed.

• Communications of the Korean Mathematical Society
• /
• v.34 no.2
• /
• pp.439-449
• /
• 2019

In 2006, S. Lin and W. Lin introduced the definition of weakly weighted-sharing of meromorphic functions which is between "CM" and "IM". In this paper, using the notion of weakly weighted-sharing, we study the uniqueness of nonconstant homogeneous differential polynomials P[f] and P[g] generated by meromorphic functions f and g, respectively. Our results generalize the results due to S. Lin and W. Lin, and H.-Y. Xu and Y. Hu.

• Bulletin of the Korean Mathematical Society
• /
• v.56 no.3
• /
• pp.597-607
• /
• 2019

In this article, we consider properties of transcendental meromorphic solutions of the complex differential-difference equation $$P_n(z)f^{(n)}(2+{\eta}_n)+{\cdots}+P_1(z)f^{\prime}(z+{\eta}_1)+P_0(z)f(z+{\eta}_0)=0$$, and its non-homogeneous equation. Our results extend earlier results by Liu et al. [9].

• Bulletin of the Korean Mathematical Society
• /
• v.56 no.3
• /
• pp.789-799
• /
• 2019

In this paper, we deal with unicity of a nonconstant zero-order meromorphic function f(z) and its shift f(qz) when they share four distinct values IM or share three distinct values with multiplicities truncated to level 4 in the extended complex plane, where $q{\in}\mathbb{C}{\setminus}\{0\}$. We also give an uniqueness result for f(z) sharing sets with its shift.

• Communications of the Korean Mathematical Society
• /
• v.34 no.4
• /
• pp.1245-1259
• /
• 2019

In the paper, we study the growth properties of meromorphic solutions of higher order linear differential equations with entire coefficients of [p, q] - ${\varphi}$ order, ${\varphi}$ being a non-decreasing unbounded function and establish some new results which are improvement and extension of some previous results due to Hamani-Belaidi, He-Zheng-Hu and others.

• Korean Journal of Mathematics
• /
• v.29 no.2
• /
• pp.239-252
• /
• 2021

The prime target of this paper is to compare some relative (k, n) Nevanlinna defects with relative (k, n) Valiron defects from the view point of integrated moduli of logarithmic derivative of entire and meromorphic functions where k and n are any two non-negative integers.

• Korean Journal of Mathematics
• /
• v.29 no.1
• /
• pp.121-136
• /
• 2021

In this paper we wish to prove some results relating to the growth rates of composite entire and meromorphic functions with their corresponding left and right factors on the basis of their generalized order (��, ��) and generalized lower order (��, ��), where �� and �� are continuous non-negative functions defined on (-∞, +∞).

• Communications of the Korean Mathematical Society
• /
• v.38 no.2
• /
• pp.525-545
• /
• 2023

In the paper, we have exhaustively studied about the uniqueness of meromorphic function sharing two small functions with its k-th derivative as these types of results have never been studied earlier. We have obtained a series of results which will improve and extend some recent results of Banerjee-Maity [1].