I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
1998, VOLUME 4, NUMBER 1, PAGES 467-470
V. F. Tarasov
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The Cauchy integral (3) for the representation of
$\Gamma(z)$, when $\Re z<0$is a noninteger, and the Mellin integral (4) together form the new ``integral transformation of Cauchy--Mellin type'' for $\Gamma(z)$, with the help of which we can find exact analytical representations in form of ``nonorientable'' power series for hypergeometric functions from one, two and more variables in a ``pole-domain'' of Euler's gamma-function.
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Last modified: April 8, 1998