北京大学学报(自然科学版)

关于一组线性微分多项式的反演

庄圻泰   

  1. 北京大学数学系,北京,100871
  • 收稿日期:1995-12-01 出版日期:1997-05-20 发布日期:1997-05-20

On the Inversion of a System of Linear Differential Polynomials

CHUANG Chitai   

  1. Department of Mathematics, Peking University, Beijing, 100871
  • Received:1995-12-01 Online:1997-05-20 Published:1997-05-20

摘要: 证明了关于一组线性微分多项式的一组反演公式并给出了应用。

关键词: 反演公式组, 线性微分方程组

Abstract: In a previous work we have proved an inversion formula for a linear differential polynomial, which has interesting applications. In this paper we investigate the case of a system of linear differential polynomials and prove, by a different method, a system of inversion formulas which contains the above mentioned inversion formula as a particular case, and of which we shall give an application.

Key words: system of inversion formulas, system of linear differential equations

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