| ON COEFFICIENT POLYNOMIALS OF CUBIC HERMITE-PAD(?) APPROXIMATIONS TO THE EXPONENTIAL FUNCTION |
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| 作者姓名： | Cheng-de Zheng Guo-can Wang Zhi-bin Li |
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| 作者单位： | Department of Mathematical Physics，Dalian Jiaotong University，Dalian 116028，China |
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| 基金项目： | Supported by the NNSF(10271022,60373093)of China，the NSF of Guangdong Province,China(No.021755). |
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| 摘 要： | The polynomials related with cubic Hermite-Padéapproximation to the exponentialfunction are investigated which have degrees at most n,m,s respectively.A connectionis given between the coefficients of each of the polynomials and certain hypergeometricfunctions,which leads to a simple expression for a polynomial in a special case.Contourintegral representations of the polynomials are given.By using of the saddle point methodthe exact asymptotics of the polynomials are derived as n,m,s tend to infinity throughcertain ray sequence.Some further uniform asymptotic aspects of the polynomials are alsodiscussed.
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| 关 键 词： | Padé-type approximant Cubic Hermite-Padé approximation Hypergeometric function Saddle point method |
ON COEFFICIENT POLYNOMIALS OF CUBIC HERMITE-PAD(?) APPROXIMATIONS TO THE EXPONENTIAL FUNCTION |
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| Cheng-de Zheng Guo-can Wang Zhi-bin Li.ON COEFFICIENT POLYNOMIALS OF CUBIC HERMITE-PAD(?) APPROXIMATIONS TO THE EXPONENTIAL FUNCTION[J].Journal of Computational Mathematics,2005(4). |
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| Authors: | Cheng-de Zheng Guo-can Wang Zhi-bin Li |
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