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to derive asymptotic expansions as one or several of the para- meters tend to OB. .. Erdelyi derived the following expansion for |b| large [5]. If a,c and t are fixed.

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Tricomi, F. G.; Erdélyi, A. The asymptotic expansion of a ratio of gamma functions. Pacific J. Math. 1 (), no. 1, napoleons.ru

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Laplace's method is one of the best-known techniques in the asymptotic .. in the role of the reversion coefficients in Erdélyi's asymptotic expansion, and this knowledge is Answer: Test the downloaded coefficients with the gamma function!.

The uniform asymptotic expansion of the modified Bessel function of the first kind lv(vz), except for an A.E. Erdélyi, W. Magnus, F. Oberhettinger, G.F. Tricomi.

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the modified Bessel functions Iν(z) and Kν(z) and a full asymptotic expansion .. Proof. We start with the following result that is due to Tricomi and Erdélyi.

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