GergHo Nemes

activity

20192024

most citedOn the Borel summability of WKB solutions of certain Schrödinger-type differential equations

13 citations · 33 across the 8 of their papers we have counts for

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math.CA2024★ 1 cited

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 $ti (a, z, α)$ and its associated modulus and phase functions for la…

math.CA2024

Large-degree asymptotic expansions for the Jacobi and related functions

Gergő Nemes

Simple asymptotic expansions for the Jacobi functions $P_{ν}^{(α, β)} (z)$ and $Q_{ν}^{(α, β)} (z)$ for large degree $ν$ , with fixed parameters $α$ and $β$ , are surprisingly rare in the…

math.CA2024

Resurgence in the Transition Region: The Incomplete Gamma Function

Gergő Nemes

We study the resurgence properties of the coefficients $C_{n} (τ)$ appearing in the asymptotic expansion of the incomplete gamma function within the transition region. Our findings re…