A. Daalhuis

collaborators

2 papers

math.CA2019

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 $P_{ν}^{μ} (z)$ and $Q_{ν}^{μ} (z)$ for large degree $ν$ or large order $μ$ ar…

math.CA2018

Asymptotic expansions for the incomplete gamma function in the transition regions

Gergő Nemes, Adri B. Olde Daalhuis

We construct asymptotic expansions for the normalised incomplete gamma function $Q (a, z) = Γ (a, z) /Γ (a)$ that are valid in the transition regions, including the case $z \approx a$ , and…