Estimation of the remainder terms of certain Horn hypergeometric series

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Appell, Horn and Lauricella functions (33C65) Integral representations, integral operators, integral equations methods in two dimensions (31A10) Remainders in approximation formulas (41A80)

Cites Work

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F1: a code to compute Appell's $F_{1}$ hypergeometric function
Analytical solution for the cavitating flow over a wedge. I
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Analytic continuation of Lauricella's function F_D^(N) for variables close to unit near hyperplanes {z_j = z_l}
The Lauricella hypergeometric function $F_D^{(N)}$, the Riemann–Hilbert problem, and some applications
Integration of the Partial Differential Equations for the Hypergeometric Functions F1 and FD of Two and More Variables
Numerical evaluation of Appell's $F_1$ hypergeometric function
On the evaluation of the Appell $F_2$ double hypergeometric function
Convergent expansions and bounds for the incomplete elliptic integral of the second kind near the logarithmic singularity
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\texttt{Olsson.wl \& ROC2.wl}: mathematica packages for transformations of multivariable hypergeometric functions \& regions of convergence for their series representations in the two variables case

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