A Note on the Convergence of KAMPÉ DE FÉRIET's Double Hypergeometric Series
- 1 January 1972
- journal article
- research article
- Published by Wiley in Mathematische Nachrichten
- Vol. 53 (1-6) , 151-159
- https://doi.org/10.1002/mana.19720530114
Abstract
By using a technique of HORN [4], the authors discuss here the convergence conditions of the double hypergeometric series of the generalized KAMPÉ DE FÉRIET function introduced earlier by them [7]. It is shown that the recent observations of RAGAB [6] would follow fairly easily by suitably specializing the results of the present note. Also the method employed here is appropriately extended to obtain the domain of convergence of the authors' multiple hypergeometric series associated with the generalized LAURICELLA function of several variables [8].Keywords
This publication has 5 references indexed in Scilit:
- Expansions of Kampé de Feriet's Double Hypergeometric Function of Higher Order.Journal für die reine und angewandte Mathematik (Crelles Journal), 1963
- EXPANSIONS OF APPELL'S DOUBLE HYPER-GEOMETRIC FUNCTIONS (II)The Quarterly Journal of Mathematics, 1941
- The Asymptotic Expansion of the Generalized Hypergeometric FunctionProceedings of the London Mathematical Society, 1940
- The Asymptotic Expansion of the Generalized Hypergeometric FunctionJournal of the London Mathematical Society, 1935
- Ueber die Convergenz der hypergeometrischen Reihen zweier und dreier VeränderlichenMathematische Annalen, 1889