Analytic Continuation of Appell's Hypergeometric Series F2 to the Vicinity of the Singular Point x = 1, y = 1

DOI10.1063/1.1664871zbMath0169.08602OpenAlexW2020592524MaRDI QIDQ5555829

G. E. Hahne

Publication date: 1969

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1664871

zbMATH Keywords

special functions

Related Items (4)

On the evaluation of the Appell \(F_2\) double hypergeometric function ⋮ NEW PROPERTIES OF THE P. E. APPELL HYPERGEOMETRIC SERIES F₂(α;β, β′;γ, γ′;x, y) TO THE VICINITY OF THE SINGULAR POINT (1, 1) AND NEAR THE BOUNDARY OF ITS DOMAIN OF CONVERGENCE D₂:|x|+|y|<1 ⋮ On the integration of the differential equations of five-parametric double-hypergeometric functions of second order ⋮ On certain results related to the hypergeometric function \(F_K\)

Cites Work

• Hypergeometric functions of two variables
• Study of Nuclear Structure by Electromagnetic Excitation with Accelerated Ions
• Quantum Calculation of Coulomb Excitation. I
• Analytic Properties of Certain Radial Matrix Elements
• The contiguous function relations for _{𝑝}𝐹_{𝑞} with application to Batemean’s 𝐽_{𝑛}^{𝑢,𝜈} and Rice’s 𝐻_{𝑛}(𝜁,𝑝,𝜈)

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