| 摘要: |
| 讨论涉及到第二类Chebyshev多项式导数的共轭双正交级数,这里进一步讨论其共轭级数,目的是为椭圆周上的柯西型积分的主值提供新的逼近工具. |
| 关键词: 共轭双正交级数 柯西型积分主值 椭圆周 |
| DOI: |
| 投稿时间:1997-02-18 |
| 基金项目: |
|
| Conjugate Biorthogonal Series Based on the Derivatives of the Second Kind of Chebyshev Polynomials and Its Associate Function |
|
Zhang Peixuan
|
| (Dept. of Math. Shandong Univ., Jinan, Shandong, 250100) |
| Abstract: |
| The conjugate series of the biothogonal series based on the derivatives of the second kind of Chebyshev polynomials were studied in order to give a new approximation tool for the principal value of Cauchy's type integral on an ellipse. |
| Key words: conjugate biorthogonal series principal value of the Cauchy's type integral ellipse |