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- HUN-REN Alfréd Rényi Institute of MathematicsHU42 papers
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math.CA2013★ 10 cited
Error bounds and exponential improvements for the asymptotic expansions of the gamma function and its reciprocal
Gergő Nemes
In (Boyd, Proc. R. Soc. Lond. A 447 (1994) 609--630), W. G. C. Boyd derived a resurgence representation for the gamma function, exploiting the reformulation of the method of steepe…
math.CA2013★ 2 cited
The resurgence properties of the large order asymptotics of the Hankel and Bessel functions
Gergő Nemes
The aim of this paper is to derive new representations for the Hankel and Bessel functions, exploiting the reformulation of the method of steepest descents by M. V. Berry and C. J.…