activity
20142023
most citedRecent software developments for special functions in the Santander-Amsterdam project

4 citations · 5 across the 6 of their papers we have counts for

collaborators

5 papers

cs.MS2016

Computation of the incomplete gamma function for negative values of the argument

A. Gil, D. Ruiz-Antolín, J. Segura +1

An algorithm for computing the incomplete gamma function for real values of the parameter and negative real values of the argument is presented. The algorithm co…

math.CA2014

Monotonicity properties and bounds for the chi-square and gamma distributions

J. Segura

The generalized Marcum functions and have as particular cases the non-central and gamma cumulative distributions, which become central distributions (in…

math.CA2014

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…

math.CA20141 cited

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 ,…

math.CA20144 cited

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…