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On the high-order coefficients in the uniform asymptotic expansion for the incomplete gamma function

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Publication:1289308
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DOI10.4310/MAA.1998.v5.n3.a1zbMath0921.33001MaRDI QIDQ1289308

K. Appert

Publication date: 24 September 1999

Published in: Methods and Applications of Analysis (Search for Journal in Brave)


zbMATH Keywords

incomplete gamma functionasymptotic expansionresurgence


Mathematics Subject Classification ID

Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20) Asymptotic representations in the complex plane (30E15)


Related Items (5)

Universality at weak and strong non-Hermiticity beyond the elliptic Ginibre ensemble ⋮ An explicit formula for the coefficients in Laplace's method ⋮ Asymptotic expansions for the incomplete gamma function in the transition regions ⋮ On the Riemann–Siegel formula ⋮ Error bounds for the uniform asymptotic expansion of the incomplete gamma function




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