• 호남수학학술지
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• 제41권3호
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• pp.463-487
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• 2019

In the paper we establish some new results depending on the comparative growth properties of composite entire and meromorphic functions using relative (p, q, t)L-th order and relative (p, q, t)L-th type of entire and meromorphic function with respect to another entire function.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제30권3호
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• pp.269-288
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• 2023

In this paper we study the effect of integer translation on Nevanlinna's characteristic function of a meromorphic function. Also, we investigate comparative growth of integer translated entire and meromorphic functions under different conditions.

• 호남수학학술지
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• 제45권1호
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• pp.42-53
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• 2023

The main aim of this paper is to introduce the definition of 𝜑-proximate order of a meromorphic function on the complex plane. By considering the concept of 𝜑-proximate order, we will extend some previous results of Lahiri [11]. Furthermore, as an application of 𝜑-proximate order, a result concerning the growth of composite entire and meromorphic function will be given.

• Journal of applied mathematics & informatics
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• 제41권2호
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• pp.247-263
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• 2023

In this article, we investigate the uniqueness problem of q-shift difference polynomial of meromorphic (entire) function with zero-order. Consequently, we prove three results with significantly generalize the results of Goutam Haldar.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제26권4호
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• pp.315-353
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• 2019

Orders and types of entire and meromorphic functions have been actively investigated by many authors. In the present paper, we aim at investigating some basic properties in connection with sum and product of relative (p, q)-𝜑 order, relative (p, q)-𝜑 type, and relative (p, q)-𝜑 weak type of meromorphic functions with respect to entire functions where p, q are any two positive integers and 𝜑 : [0, +∞) → (0, +∞) is a non-decreasing unbounded function.

• Journal of Applied and Pure Mathematics
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• 제5권5_6호
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• pp.281-289
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• 2023

We investigate the value distribution of difference-differential polynomials of entire and meromorphic functions, which can be gazed as the Hayman's Conjecture. And also we study the uniqueness and existence for sharing common value of difference-differential polynomials.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제31권2호
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• pp.119-130
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• 2024

In this paper we discuss on the growth properties of composite entire and meromorphic functions on the basis of generalized (α, β, γ) order and generalized (α, β, γ) type comparing to their corresponding left and right factors.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제30권2호
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• pp.139-154
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• 2023

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 relative order (α, β) and generalized relative lower order (α, β), where α and β are continuous non-negative functions defined on (-∞, +∞).

• Korean Journal of Mathematics
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• 제26권1호
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• pp.23-41
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• 2018

The main aim of this paper is to prove some results related to the growth rates of composite entire and meromorphic functions on the basis of their relative (p, q)-th order, relative (p, q)-th lower order, relative (p, q)-th type and relative (p, q)-th weak type where p and q are any two positive integers.

• Korean Journal of Mathematics
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• 제29권1호
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• pp.121-136
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• 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 (-∞, +∞).