正交Hermite Padé表中相邻页面间的递推关系

Recurrence relations between adjacent pages in the Hermite Padé table

文章先给出一般正交多项式乘积的直接计算公式。在正规性的条件下,证明正交Hermite Padé逼近多项式的唯一性,并给出正交Hermite Padé表中沿相邻页面所存在的递推关系。

Some formulas for directly calculating the product of general algebraic orthogonal polynomials are given. Under the condition of normality, the unicity of orthogonal Hermite Padé approximation polynomials is proved, and the recurrence relations between adjacent pages in the Hermite Padé table are described.