13 citations · 33 across the 8 of their papers we have counts for
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Asymptotic expansions for the generalised trigonometric integral and its zeros
Gergő Nemes
In this paper, we investigate the asymptotic properties of the generalised trigonometric integral and its associated modulus and phase functions for la…
Large-degree asymptotic expansions for the Jacobi and related functions
Gergő Nemes
Simple asymptotic expansions for the Jacobi functions and for large degree , with fixed parameters and , are surprisingly rare in the…
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…
On the Borel summability of formal solutions of certain higher-order linear ordinary differential equations
Gergő Nemes
We consider a class of -order linear ordinary differential equations with a large parameter . Analytic solutions of these equations can be described by (divergent…
Proofs of two conjectures on the real zeros of the cylinder and Airy functions
Gergő Nemes
We prove the enveloping property of the known divergent asymptotic expansions of the large real zeros of the cylinder and Airy functions, and thereby answering in the affirmative t…
On the Borel summability of WKB solutions of certain Schrödinger-type differential equations
Gergő Nemes
A class of Schrödinger-type second-order linear differential equations with a large parameter is considered. Analytic solutions of this type of equations can be described via (…
Large-parameter asymptotic expansions for the Legendre and allied functions
Gergő Nemes, Adri B. Olde Daalhuis
Surprisingly, apart from some special cases, simple asymptotic expansions for the associated Legendre functions and for large degree or large order ar…