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RADIAL OSCILLATION OF LINEAR DIFFERENTIAL EQUATION

Zhaojun Wu
대한수학회 (The Korean Mathematical Society)|2012.09|대한수학회보 (Bulletin of the KMS)|제49권 제5호|pp. 911-921

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참고문헌

키워드

radial exponent of convergenceiterated ordersectorial oscillationBorel direction
주제분류수학

초록

In this paper, the radial oscillation of the solutions of higher order homogeneous linear differential equation $$f^{(k)}+A_{n-2}(z)f^{(k-2)}+{\cdots}+A_1(z)f^{\prime}+A_0(z)f=0$$ with transcendental entire function coefficients is studied. Results are obtained to extend some results in [Z. Wu and D. Sun, Angular distribution of solutions of higher order linear differential equations, J. Korean Math. Soc. 44 (2007), no. 6, 1329-1338].

Abstract

In this paper, the radial oscillation of the solutions of higher order homogeneous linear differential equation $$f^{(k)}+A_{n-2}(z)f^{(k-2)}+{\cdots}+A_1(z)f^{\prime}+A_0(z)f=0$$ with transcendental entire function coefficients is studied. Results are obtained to extend some results in [Z. Wu and D. Sun, Angular distribution of solutions of higher order linear differential equations, J. Korean Math. Soc. 44 (2007), no. 6, 1329-1338].

참고문헌 (24)

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관련 논문AI추천

THE ZEROS DISTRIBUTION OF SOLUTIONS OF HIGHER ORDER DIFFERENTIAL EQUATIONS IN AN ANGULAR DOMAINZhibo Huang, Zongxuan Chen대한수학회 · 대한수학회보2010 · 제47권 제3호On the complex oscillation of higher order linear differential equationsKai Liu, Lian-Zhong Yang대한수학회 · 대한수학회보2009 · 제46권 제4호On radial oscillation of entire solutions to nonhomogeneous algebraic differential equationsGuowei Zhang대한수학회 · 대한수학회보2018 · 제55권 제2호On the Order of Growth of Solutions to Complex Nonhomogeneous Linear Differential EquationsBenharrat Belaidi, Habib Habib경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2016 · 제56권 제3호On zeros and growth of solutions of second order linear differential equationsManisha Saini, Sanjay Kumar대한수학회 · 대한수학회논문집2020 · 제35권 제1호Growth order of Meromorphic Solutions of Higher-orderLinear Differential EquationsJunfeng Xu, Zhanliang Zhang경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2008 · 제48권 제1호

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