6 citations · 18 across the 9 of their papers we have counts for
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Lerch asymptotics
Adri B. Olde Daalhuis
We use a Mellin-Barnes integral representation for the Lerch transcendent to obtain large asymptotic approximations. The simplest divergent asymptotic approximation…
Exponentially-improved asymptotics and numerics for the (un)perturbed first Painlevé equation
Adri B. Olde Daalhuis
The solutions of the perturbed first Painlevé equation , , are uniquely determined by the free constant multiplying the exponentially small terms in the comp…
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…
Computation of the coefficients appearing in the uniform asymptotic expansions of integrals
Sarah Farid Khwaja, Adri B. Olde Daalhuis
The coefficients that appear in uniform asymptotic expansions for integrals are typically very complicated. In the existing literature the majority of the work only give the first…
Uniform asymptotic approximations for the Lamé and Mathieu functions and their respective eigenvalues with a large parameter
Karen Ogilvie, Adri B. Olde Daalhuis
By application of the theory for second-order linear differential equations with two turning points developed in \cite{Olver1975}, uniform asymptotic approximations are obtained fo…
Rigorous Asymptotics for the Lamé and Mathieu Functions and their Respective Eigenvalues with a Large Parameter
Karen Ogilvie, Adri B. Olde Daalhuis
By application of the theory for second-order linear differential equations with two turning points developed in [Olver F.W.J., Philos. Trans. Roy. Soc. London Ser. A 278 (1975), 1…