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- W3015092820 abstract "We consider the uniform asymptotic expansion for the Gauss hypergeometric function [{}_2F_1(a+epsilonlambda,b;c+lambda;x),qquad 0<x<1] as $lambdato+infty$ in the neigbourhood of $epsilon x=1$ when the parameter $epsilon>1$ and the constants $a$, $b$ and $c$ are supposed finite. Use of a standard integral representation shows that the problem reduces to consideration of a simple saddle point near an endpoint of the integration path. A uniform asymptotic expansion is first obtained by employing Bleistein's method. An alternative form of uniform expansion is derived following the approach described in Olver's book [{it Asymptotics and Special Functions}, p.~346]. This second form has several advantages over the Bleistein form." @default.
- W3015092820 created "2020-04-10" @default.
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- W3015092820 date "2020-04-04" @default.
- W3015092820 modified "2023-09-26" @default.
- W3015092820 title "Uniform asymptotics of a Gauss hypergeometric function with two large parameters, V" @default.
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- W3015092820 doi "https://doi.org/10.48550/arxiv.2004.01945" @default.
- W3015092820 hasPublicationYear "2020" @default.
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