## Abstract An asymptotic representation is obtained for the hypergeometric function ${\bf F}(a+\lambda,bβ\lambda,c,1/2β1/2z)$\nopagenumbers\end as $|\lambda|\rightarrow\infty$\nopagenumbers\end with $|{\rm ph}\,\lambda|<\pi$\nopagenumbers\end. It is uniformly valid in the __z__βplane cut in an app
Asymptotics of sums of hypergeometric terms
β Scribed by A. A. Ryabenko; S. L. Skorokhodov
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 2005
- Tongue
- English
- Weight
- 119 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0361-7688
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π SIMILAR VOLUMES
## A transformation formula is given for the generalized hypergeometric function in series of similar functions. It is also shown how easily this formula, can be applied to deduce various classes of summ&tion theorems for multiple hypergeometric series. The main results ( 12), ( 15) and ( 18) belo
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