On the integration of the differential equations of five-parametric double-hypergeometric functions of second order
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Publication:4118103
DOI10.1063/1.523405zbMath0348.33002OpenAlexW2025650886MaRDI QIDQ4118103
Publication date: 1977
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.523405
Classical hypergeometric functions, ({}_2F_1) (33C05) General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to ordinary differential equations (34-00)
Related Items (7)
On the evaluation of the Appell \(F_2\) double hypergeometric function ⋮ Appell-Kampé de Fériet hypergeometric functions of two variables ⋮ INTEGRAL REPRESENTATIONS OF APPELL'S <i>F</i><sub>2</sub>, <i>F</i><sub>3</sub>, HORN'S <i>H</i><sub>2</sub> AND OLSSON'S <i>F<sub>P</sub></i> FUNCTIONS ⋮ CONNECTION FORMULAS RELATED WITH APPELL'S <i>F</i><sub>2</sub>, HORN'S <i>H</i><sub>2 </sub>AND OLSSON'S <i>F</i><i><sub>P </sub></i>FUNCTIONS ⋮ 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 a hypergeometric function of four variables with a new aspect of \(SL\)- symmetry ⋮ INTEGRAL REPRESENTATIONS FOR HORN'S <i>H</i><sub>2</sub> FUNCTION AND OLSSON'S <i>F<sub>P</sub></i> FUNCTION
Cites Work
- Study of Nuclear Structure by Electromagnetic Excitation with Accelerated Ions
- Some Exact Radial Integrals for Dirac-Coulomb Functions
- Analytic Properties of Certain Radial Matrix Elements
- Analytic Continuation of Appell's Hypergeometric Series F2 to the Vicinity of the Singular Point x = 1, y = 1
- Integration of the Partial Differential Equations for the Hypergeometric Functions F1 and FD of Two and More Variables
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