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Asymptotic analysis of Θ-hypergeometric functions

✍ Scribed by Angela Pasquale

Publisher
Springer-Verlag
Year
2004
Tongue
English
Weight
552 KB
Volume
157
Category
Article
ISSN
0020-9910

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Asymptotics of the hypergeometric functi
Asymptotics of the hypergeometric function
✍ D. S. Jones 📂 Article 📅 2001 🏛 John Wiley and Sons 🌐 English ⚖ 159 KB

## 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