151 citations · 327 across the 38 of their papers we have counts for
4 papers · 2 filters
The asymptotic and numerical inversion of the Marcum function
A. Gil, J. Segura, N. M. Temme
The generalized Marcum functions appear in problems of technical and scientific areas such as, for example, radar detection and communications. In mathematical statistics and proba…
On the complex zeros of Airy and Bessel functions and those of their derivatives
A. Gil, J. Segura
We study the distribution of zeros of general solutions of the Airy and Bessel equations in the complex plane. Our results characterize the patterns followed by the zeros for any s…
Computation of a numerically satisfactory pair of solutions of the differential equation for conical functions of non-negative integer orders
T. M. Dunster, A. Gil, J. Segura +1
We consider the problem of computing satisfactory pairs of solutions of the differential equation for Legendre functions of non-negative integer order and degree ,…
Recent software developments for special functions in the Santander-Amsterdam project
A. Gil, J. Segura, N. M. Temme
We give an overview of published algorithms by our group and of current activities and future plans. In particular, we give details on methods for computing special functions and d…