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On an Asymptotic Expansion of the Hypergeometric Function
Published online by Cambridge University Press: 20 January 2009
Extract
In a previous paper the author has employed the expansion
where
and
to establish the theorem that, if −π/2<amp γ<π/2, the function Ps/Ts+1 remains finite as γ→∞. This theorem is valid provided that z is not real and ≧ 1.
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- Copyright © Edinburgh Mathematical Society 1923
References
* Proc. Edin. Math. Soc., Vol. XLI, pp. 82–92.
† R(γ) and s are taken so large that R(γ−β)>0 and R(β+s)>0.
‡ Cf. Watson, G. N., Trans. Camb. Phil. Soc., Vol. 22, 1918, p. 299.Google Scholar
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