| 用于积分方程解的函数值Padé逼近的Pfaffin公式 |
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| 引用本文： | 李春景,顾传青.用于积分方程解的函数值Padé逼近的Pfaffin公式[J].上海大学学报(英文版),2003,7(4). |
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| 作者姓名： | 李春景 顾传青 |
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| 作者单位： | Department of Mathematics，College of Sciences，Shanghai University，Shanghai 200436，China，Department of Mathematics，College of Sciences，Tongji University，Shanghai 200331，China，Department of Mathematics，College of Sciences，Shanghai University，Shanghai 200436，China |
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| 基金项目： | theNationalNaturalScienceFoundationofChina (GrantNo .10 2 710 74) |
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| 摘 要： | 1 Introduction Letf(x ,λ)beagivenpowerserieswithfunction valuedcoefficients,f(x ,λ) =c0 (x) c1(x)λ c2 (x)λ2 … cn(x)λn … (1)wherecj(x)isarealorcomplexfunctionwithre specttox∈ (a ,b) .Suppoethatf(x ,λ)isanalyticasafunctionofλattheoriginλ =0 . Chisholm1] pointedoutPad啨ａｐｐｒｏｘｉｍａｎｔｍｅｔｈｏｄｃａｎｂｅｕｓｅｄｆｏｒｏｂｔａｉｎｉｎｇｔｈｅｓｏｌｕｔｉｏｎｏｆａｗｋｗａｒｄｉｎ tegralequations,andespeciallythosewhichpossessageneratingfunctionoftheform (1) ,sinceth…
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| 关 键 词： | Padé approximant determinant Pfaffian formula integral equation. |
A Pfaffian Formula of the Generalized Inverse Function-Valued Padé Approximant Used in Solving Integral Equations |
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| LI Chun-Jing,GU Chuan-qing.A Pfaffian Formula of the Generalized Inverse Function-Valued Padé Approximant Used in Solving Integral Equations[J].Journal of Shanghai University(English Edition),2003,7(4). |
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| Authors: | LI Chun-Jing GU Chuan-qing |
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| Abstract: | The generalized inverse function-valued Pade approximant was defined to solve the integral equations. However, it is diffi-cult to compute the approximants by some high-order determinant formulas. In this paper, to simplify computation of the function-val-ued Pade approximanta, an efficient Pfaffian formula for the determinants was extended from the matrix form to the function-valuedform. As an important application, a Pfaffian formula of 4/4] type Pade approximant was established. |
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| Keywords: | Pade approximant determinant Pfaffian formula integral equation |
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