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Zbl 0648.30003
Bühring, Wolfgang
An analytic continuation formula for the generalized hypergeometric function.
(English)
[J] SIAM J. Math. Anal. 19, No.5, 1249-1251 (1988). ISSN 0036-1410; ISSN 1095-7154/e

For $p=1,2,3,...$, the geometric function $\sb{p+1}F\sb p(z)$ is expressed in terms of power series in the variable $1/(z-z\sb 0)$ that converge for $\vert z-z\sb 0\vert >\max (\vert z\sb 0\vert,\vert z\sb 0- 1\vert)$ where $z\sb 0$ is any complex number.
MSC 2000:
*30B40 Analytic continuation (one complex variable)
33C05 Classical hypergeometric functions
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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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