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Growth of solutions of non-homogeneous linear differential equations and its applications

Dilip Chandra Pramanik|Manab Biswas
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2021.03|한국수학논문집 (Korean Journal of Mathematics)|제29권 제1호|pp. 65-73

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키워드

Linear differential equationsValue sharingHyper order.
주제분류수학

초록

In this paper, we investigate the growth properties of solutions of the non-homogeneous linear complex differential equation $L\left(f\right)=b\left(z\right)f+c\left(z\right)$, where $L\left(f\right)$ is a linear differential polynomial and $b\left( z\right) $, $c\left( z\right) $ are entire functions and give some of its applications on sharing value problems.

Abstract

In this paper, we investigate the growth properties of solutions of the non-homogeneous linear complex differential equation $L\left(f\right)=b\left(z\right)f+c\left(z\right)$, where $L\left(f\right)$ is a linear differential polynomial and $b\left( z\right) $, $c\left( z\right) $ are entire functions and give some of its applications on sharing value problems.

참고문헌 (16)

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관련 논문AI추천

On the Order of Growth of Solutions to Complex Nonhomogeneous Linear Differential EquationsBenharrat Belaidi, Habib Habib경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2016 · 제56권 제3호On growth properties of transcendental meromorphic solutions of linear differential equations with entire coefficients of higher orderNityagopal Biswas, Samten Tamang, Sanjib Kumar Datta대한수학회 · 대한수학회논문집2019 · 제34권 제4호On zeros and growth of solutions of second order linear differential equationsManisha Saini, Sanjay Kumar대한수학회 · 대한수학회논문집2020 · 제35권 제1호Growth and meromorphic solutions of complex differential and differential-difference equationsPradip Das, Sujoy Majumder대한수학회 · 대한수학회보2025 · 제62권 제6호Growth of solutions of linear differential-difference equations with coefficients having the same logarithmic orderNityagopal Biswas강원경기수학회 · 한국수학논문집2021 · 제29권 제3호Uniqueness of meromorphic functions with their homogeneous and linear differential polynomials sharing a small functionBipul Pal, Indrajit Lahiri대한수학회 · 대한수학회보2017 · 제54권 제3호

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