35 citations · 192 across the 23 of their papers we have counts for
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The resurgence properties of the Incomplete gamma function II
Gergő Nemes
In this paper we derive a new representation for the incomplete gamma function, exploiting the reformulation of the method of steepest descents by C. J. Howls (Howls, Proc. R. Soc.…
The resurgence properties of the incomplete gamma function I
Gergő Nemes
In this paper we derive new representations for the incomplete gamma function, exploiting the reformulation of the method of steepest descents by C. J. Howls (Howls, Proc. R. Soc.…
The resurgence properties of the Hankel and Bessel functions of nearly equal order and argument
Gergő Nemes
The aim of this paper is to derive new representations for the Hankel functions, the Bessel functions and their derivatives, exploiting the reformulation of the method of steepest…
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…