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

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```
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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Location: http://mech.math.msu.su/~fpm/eng/98/982/98214t.htm

Last modified: June 17, 1998