Asymptotics of the Humbert Function Ψ₁ for Two Large Arguments

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2024
• Hauptverfasser: Hang, Peng-Cheng, Luo, Min-Jie
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2024
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/212346
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Asymptotics of the Humbert Function Ψ₁ for Two Large Arguments. Peng-Cheng Hang and Min-Jie Luo. SIGMA 20 (2024), 074, 13 pages

Recently, Wald and Henkel (2018) derived the leading-order estimate of the Humbert functions Φ₂, Φ₃, and Ξ₂ for two large arguments, but their technique cannot handle the Humbert function Ψ₁. In this paper, we establish the leading asymptotic behavior of the Humbert function Ψ₁ for two large argumen...