16 citations · 38 across the 4 of their papers we have counts for
5 papers
Resurgence in the Transition Region: The Incomplete Gamma Function
Gergő Nemes
We study the resurgence properties of the coefficients appearing in the asymptotic expansion of the incomplete gamma function within the transition region. Our findings re…
Uniform Asymptotic Expansion for the Incomplete Beta Function
Gergő Nemes, Adri B. Olde Daalhuis
In [Temme N.M., Special functions. An introduction to the classical functions of mathematical physics, A Wiley-Interscience Publication, John Wiley & Sons, Inc., New York, 1996, Se…
Error bounds and exponential improvement for the asymptotic expansion of the Barnes -function
Gergő Nemes
In this paper we establish new integral representations for the remainder term of the known asymptotic expansion of the logarithm of the Barnes -function. Using these representa…
On the large argument asymptotics of the Lommel function via Stieltjes transforms
Gergő Nemes
The aim of this paper is to investigate in detail the known large argument asymptotic series of the Lommel function by Stieltjes transform representations. We obtain a number of pr…
On the coefficients of the asymptotic expansion of n!
Gergő Nemes
Applying a theorem of Howard for a formula recently proved by Brassesco and Méndez, we derive new simple explicit formulas for the coefficients of the asymptotic expansion to the s…