GergHo Nemes

collaborators

3 papers

math.CA2025

Large-degree asymptotic expansions for the Jacobi and related functions

GergÅ Nemes

Simple asymptotic expansions for the Jacobi functions $P_{I^} ½^{(I^\pm, I^^{2})} (z)$ and $Q_{I^} ½^{(I^\pm, I^^{2})} (z)$ for large degree $I^½$ , with fixed parameters $I^\pm$ and $I^^{2}$ , are surprisingly rar…

math.CA2025

Asymptotic expansions for the generalised trigonometric integral and its zeros

GergÅ Nemes

In this paper, we investigate the asymptotic properties of the generalised trigonometric integral $ti (a, z, I^\pm)$ and its associated modulus and phase functions for l…

math.CA2024

On the Borel summability of formal solutions of certain higher-order linear ordinary differential equations

GergÅ Nemes

We consider a class of $n^{th}$ -order linear ordinary differential equations with a large parameter $u$ . Analytic solutions of these equations can be described by (divergent…