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2013•Unpublished venueRequires access

ON THE HYPER-ORDER OF SOLUTIONS OF SECOND ORDER LINEAR DIFFERENTIAL EQUATIONS WITH MEROMORPHIC COEFFICIENTS

Jianren Long

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Abstract

In this paper, we investigate the growth of solutions of the linear differential equation 0 = Bf f A f      , where ) (z A and 0) )( (  z B are meromorphic functions. More specifically, we estimate the lower bounded of hyperorder of solutions of the equation with respect to the conditions of ) (z A and 0) )( (  z B if solutions 0 ( f ) of the equation is of infinite order. keywords: Deficient value, Complex differential equations, Meromorphic function, Hyper-order. 2010 Mathematical Subject Classification: 34M10; 30D35.

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What this paper is about

In this paper, we investigate the growth of solutions of the linear differential equation 0 = Bf f A f      , where ) (z A and 0) )( (  z B are meromorphic functions. More specifically, we estimate the lower bounded of hyperorder of solutions of the equation with respect to the conditions of ) (z A and 0) )( (  z B if solutions 0 ( f ) of the equation is of infinite order. keywords: Deficient value, Complex differential equations, Meromorphic function, Hyper-order. 2010 Mathematical Subject Classification: 34M10; 30D35.

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Available abstract

In this paper, we investigate the growth of solutions of the linear differential equation 0 = Bf f A f      , where ) (z A and 0) )( (  z B are meromorphic functions. More specifically, we estimate the lower bounded of hyperorder of solutions of the equation with respect to the conditions of ) (z A and 0) )( (  z B if solutions 0 ( f ) of the equation is of infinite order. keywords: Deficient value, Complex differential equations, Meromorphic function, Hyper-order. 2010 Mathematical Subject Classification: 34M10; 30D35.

Key concepts: Meromorphic function, Mathematics, Linear differential equation, Order (exchange), Differential equation, Bounded function, Mathematical analysis, Homogeneous differential equation

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ON THE HYPER-ORDER OF SOLUTIONS OF SECOND ORDER LINEAR DIFFERENTIAL EQUATIONS WITH MEROMORPHIC COEFFICIENTS — Research Paper | ScholarLens