The Asymptotic Expansion of Kummer Functions for Large Values of the a-Parameter, and Remarks on a Paper by Olver
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asymptoticexpansionkummerolverconsideredcorrespondingfullfunction
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It is shown that a known asymptotic expansion of the Kummer function $U(a,b,z)$ as $a$ tends to infinity is valid for $z$ on the full Riemann surface of the logarithm. A corresponding result is also proved in a more general setting considered by Olver (1956).
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