EVALUATION OF A C-TABLE

[摘要] A structure of the Pade table of power series is fully determined by the so-called C-table. Each element of it is a determinant composed of the series coefficients. Froissart and Gilewicz have proved an identity permitting to evaluate the whole C-table of arbitrary power series. The paper contains a new, simpler form of this identity and its new, purely algebraic proof. Details of algorithm based, in part, on the identity are given. An identity analogous to the Sylvester one is proved for determinants in question.

[发布日期] 1992-12-17

[关键词] C-TABLE;FROISSART-GILEWICZ IDENTITY;GENERALIZED SYLVESTER IDENTITY;PADE TABLE