The Kampé de Fériet Series and the Regular Solution of the Cauchy Problem for Degenerating Hyperbolic Equation of the Second Kind

The Kampé de Fériet Series and the Regular Solution of the Cauchy Problem for Degenerating Hyperbolic Equation of the Second Kind

In this work the definition of the order of the double hypergeometric series is given, the new higher-order Kampé de Fériet functions are introduced into the consideration, their properties are studied. The results obtained are applied to finding an explicit regular solution to the Cauchy problem fo...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Lobachevskii journal of mathematics 2022-11, Vol.43 (11), p.3112-3124
Hauptverfasser: Ergashev, T. G., Komilova, N. J.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Analysis
Cauchy problems
Geometry
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Probability Theory and Stochastic Processes
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this work the definition of the order of the double hypergeometric series is given, the new higher-order Kampé de Fériet functions are introduced into the consideration, their properties are studied. The results obtained are applied to finding an explicit regular solution to the Cauchy problem for a degenerate hyperbolic equation of the second kind.
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080222140104