35 citations · 192 across the 23 of their papers we have counts for
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math.CA2017★ 13 cited
Globally exact asymptotics for integrals with arbitrary order saddles
Thomas Bennett, Christopher J. Howls, Gergő Nemes +1
We derive the first exact, rigorous but practical, globally valid remainder terms for asymptotic expansions about saddles and contour endpoints of arbitrary order degeneracy derive…
math.CA2017★ 4 cited
Error bounds for the large-argument asymptotic expansions of the Lommel and allied functions
Gergő Nemes
In this paper, we reconsider the large- asymptotic expansion of the Lommel function and its derivative. New representations for the remainder terms of the asymptoti…
math.CA2017★ 19 cited
Error bounds for the asymptotic expansion of the Hurwitz zeta function
Gergő Nemes
In this paper, we reconsider the large- asymptotic expansion of the Hurwitz zeta function . New representations for the remainder term of the asymptotic expansion are fo…