Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 2, pp. 669-689
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V. F. Tarasov. Representations for Appell's series $F_2(x,y)$ to the vicinity of the singular point $(1,1)$ and near the boundary of its domain of convergence. Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 2, pp. 669-689. http://geodesic.mathdoc.fr/item/FPM_1998_4_2_a13/
@article{FPM_1998_4_2_a13,
author = {V. F. Tarasov},
title = {Representations for {Appell's} series $F_2(x,y)$ to the vicinity of the singular point $(1,1)$ and near the boundary of its domain of convergence},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {669--689},
year = {1998},
volume = {4},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_1998_4_2_a13/}
}
TY - JOUR
AU - V. F. Tarasov
TI - Representations for Appell's series $F_2(x,y)$ to the vicinity of the singular point $(1,1)$ and near the boundary of its domain of convergence
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 1998
SP - 669
EP - 689
VL - 4
IS - 2
UR - http://geodesic.mathdoc.fr/item/FPM_1998_4_2_a13/
LA - ru
ID - FPM_1998_4_2_a13
ER -
%0 Journal Article
%A V. F. Tarasov
%T Representations for Appell's series $F_2(x,y)$ to the vicinity of the singular point $(1,1)$ and near the boundary of its domain of convergence
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 1998
%P 669-689
%V 4
%N 2
%U http://geodesic.mathdoc.fr/item/FPM_1998_4_2_a13/
%G ru
%F FPM_1998_4_2_a13
Exact analytical representations for Appell's series $F_2(x,y)$ to the vicinity of the singular point $(1,1)$ and the boundary of its domain of convergence are given. It is shown, that Appell's functions $F_2(1,1)$ and $F_3(1,1)$ have the property of mirror-like symmetry with respect to the center $j_0=-1/2$ under the change $j\mapsto-j-1$, $j\in\mathbb{Z}$, and they correlate between each other.
