Geodesic
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.

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
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     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},
     publisher = {mathdoc},
     volume = {4},
     number = {2},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_1998_4_2_a13/}
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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/