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2012•Journal of Huzhou Teachers CollegeRequires access

The Perturbed Solutions for a Class of Transcendental Equation

Chen Yueqin

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Abstract

By using the direct expansion method,this paper discusses a class of perturbed transcendental equation.According to the single root or plural root of its reduced equation,we can obtain the asymptotic expansions of the roots,thus the relative result of [6] is generalized.And this conclusion is applied to a transcendental equation.The conclusion in this paper improves some previous results.

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What this paper is about

By using the direct expansion method,this paper discusses a class of perturbed transcendental equation.According to the single root or plural root of its reduced equation,we can obtain the asymptotic expansions of the roots,thus the relative result of [6] is generalized.And this conclusion is applied to a transcendental equation.The conclusion in this paper improves some previous results.

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Available abstract

By using the direct expansion method,this paper discusses a class of perturbed transcendental equation.According to the single root or plural root of its reduced equation,we can obtain the asymptotic expansions of the roots,thus the relative result of [6] is generalized.And this conclusion is applied to a transcendental equation.The conclusion in this paper improves some previous results.

Key concepts: Transcendental equation, Transcendental number, Plural, Mathematics, Class (philosophy), Root (linguistics), Transcendental function, Mathematical analysis

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