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The zeros of the Weierstrass(wp)–function and hypergeometric series

✍ Scribed by W. Duke; Ö. Imamoḡlu

Publisher: Springer
Year: 2007
Tongue: English
Weight: 163 KB
Volume: 340
Category: Article
ISSN: 0025-5831
DOI: 10.1007/s00208-007-0174-3

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## Abstract An asymptotic representation is obtained for the hypergeometric function ${\bf F}(a+\lambda,b‐\lambda,c,1/2‐1/2z)$\nopagenumbers\end as $|\lambda|\rightarrow\infty$\nopagenumbers\end with $|{\rm ph}\,\lambda|<\pi$\nopagenumbers\end. It is uniformly valid in the __z__‐plane cut in an app