J. Segura

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20012026

most citedGammaCHI: a package for the inversion and computation of the gamma and chi-square cumulative distribution functions (central and noncentral)

19 citations · 127 across the 51 of their papers we have counts for

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math.CA2021

Complete asymptotic expansions for the relativistic Fermi-Dirac integral

A. Gil, J. Segura, N. M. Temme

Fermi-Dirac integrals appear in problems in nuclear astrophysics, solid state physics or in the fundamental theory of semiconductor modeling, among others areas of application. In…

math.CA2021

Monotonicity properties for ratios and products of modified Bessel functions and sharp trigonometric bounds

Javier Segura

Let $I_{ν} (x)$ and $K_{ν} (x)$ be the first and second kind modified Bessel functions. It is shown that the nullclines of the Riccati equation satisfied by $x^{α} Φ_{i, ν} (x)$ , $i = 1, 2$ , wi…