Integration of the Partial Differential Equations for the Hypergeometric Functions F1 and FD of Two and More Variables
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Publication:5734640
DOI10.1063/1.1704134zbMath0122.31501OpenAlexW1968915826MaRDI QIDQ5734640
Publication date: 1964
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.1704134
Related Items (28)
Analytic continuation of the Kampé de Fériet function and the general double Horn series ⋮ Analytic continuation formulas and Jacobi-type relations for Lauricella function ⋮ Analytic continuation of Lauricella's function FD(N) for large in modulo variables near hyperplanes {zj = zl} ⋮ Jacobi-type differential relations for the Lauricella function \(F_D^{(N)}\) ⋮ Formulas for analytic continuation of Horn functions of two variables ⋮ Analytic continuation of Lauricella's function FD(N) for variables close to unit near hyperplanes {zj = zl} ⋮ Analytic continuation of the Appell function \(F_1\) and integration of the associated system of equations in the logarithmic case ⋮ Constructing basises in solution space of the system of equations for the Lauricella Function F D (N) ⋮ On the evaluation of the Appell \(F_2\) double hypergeometric function ⋮ Celestial conformal blocks of massless scalars and analytic continuation of the Appell function \(F_1\) ⋮ A new hypergeometric representation of one-loop scalar integrals in \(d\) dimensions ⋮ Analytic continuation of the Lauricella function with arbitrary number of variables ⋮ The Lauricella hypergeometric function $F_D^{(N)}$, the Riemann–Hilbert problem, and some applications ⋮ Asymptotics of the Riemann-Hilbert problem for a magnetic reconnection model in plasma ⋮ On the analytic continuation of the Lauricella function \(F_D^{(N)}\) ⋮ On a hypergeometric function of four variables with a new aspect of \(SL\)- symmetry ⋮ On the integration of the differential equations of five-parametric double-hypergeometric functions of second order ⋮ F1: a code to compute Appell's \(F_{1}\) hypergeometric function ⋮ Numerical evaluation of Appell's \(F_1\) hypergeometric function ⋮ Using functional equations to calculate Feynman integrals ⋮ Numerical method for solving volume integral equations on a nonuniform grid ⋮ Horn's hypergeometric functions with three variables ⋮ Analytic continuation of the Horn hypergeometric series with an arbitrary number of variables ⋮ Analytic continuation of Lauricella's functions , and ⋮ Asymptotics of the first Appell functionF1with large parameters ⋮ Analytic Continuations of Higher-Order Hypergeometric Functions ⋮ Connection problem for an extension of \(q\)-hypergeometric systems ⋮ Asymptotics of the first Appell functionF1with large parameters II
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