Construction of the Padé approximants for some Appell hypergeometric series by means of method of generalized moment representations

• Date: 2013
• Author Affiliations: А. П. Голуб — Інститут математики НАН України; Л. О. Чернецька — Інститут математики НАН України
• Keywords: keywords
• Main Authors: Golub, A. P., Chernets’ka, L. O., Голуб, А. П., Чернецька, Л. О.
• Format: Article
• Language: Ukrainian
• Published: Інститут математики НАН України 2013
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/140
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

By means of extension of V.K. Dzyadyk's method of generalized moment representations to the case of two--dimensional number sequences Pad\'e approximants for some Appell hypergeometric series are constructed