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On the Zeros of Some Generalized Hypergeometric Functions

✍ Scribed by Haseo Ki; Young-One Kim

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
90 KB
Volume
243
Category
Article
ISSN
0022-247X

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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