FPM 1998, vol. 4, no. 2, pp. 669-689

FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1998, VOLUME 4, NUMBER 2, PAGES 669-689

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

V. F. Tarasov

Abstract

View as HTML View as gif image View as LaTeX source



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.

All articles are published in Russian.

Main page	Editorial board
Instructions to authors	Contents of the journal

Location: http://mech.math.msu.su/~fpm/eng/98/982/98214t.htm
Last modified: June 17, 1998

Representations for Appell's series F2(x,y) to the vicinity of the singular point (1,1) and near the boundary of its domain of convergence

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