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• W2891329003 abstract "We consider the uniform asymptotic expansion for the Gauss hypergeometric function [F(a+epsilonlambda,m;c+lambda;x),qquad lambdato+infty] for $x 1$ and the constants $a$ and $c$ are supposed finite. When $m=1$, we employ the standard procedure of the method of steepest descents modified to deal with the situation when a saddle point is near a simple pole. It is shown that it is possible to give a closed-form expression for the coefficients in the resulting uniform expansion. The expansion when $mgeq 2$ is obtained by means of a recurrence relation. Numerical results illustrating the accuracy of the resulting expansion are given." @default.
• W2891329003 created "2018-09-27" @default.
• W2891329003 creator A5022165242 @default.
• W2891329003 date "2018-09-24" @default.
• W2891329003 modified "2023-09-27" @default.
• W2891329003 title "Asymptotics of a Gauss hypergeometric function with large parameters, IV: A uniform expansion" @default.
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• W2891329003 hasPublicationYear "2018" @default.
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