Two-Dimensional Generalized Moment Representations and Padé Approximations for Some Humbert Series

• Datum: 2013
• Hauptverfasser: Holub, A. P., Chernetska, L. O., Голуб, А. П., Чернецька, Л. О.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2013
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/2511
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

By extending Dzyadyk’s method of generalized moment representations to the case of two-dimensional number sequences, we construct and study Padé approximants for some confluent Humbert hypergeometric series.