Some properties of biorthogonal polynomials and their application to Padé approximations

• Datum: 1994
• Hauptverfasser: Holub, A. P., Голуб, А. П.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1994
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/5650
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

Transformations of biorthogonal polynomials under certain transformations of biorthogonalizable sequences are studied. The obtained result is used to construct Padé approximants of orders $[N−1/N],\; N \in ℕ,$ for the functions $$\tilde f(z) = \sum\limits_{m = 0}^M {\alpha _m } \frac{{f(z) - T_{m -...