17 citations · 103 across the 18 of their papers we have counts for
5 papers · 1 filter
Efficient Multi-Precision Computation of Bessel Functions for Real Orders and Complex Arguments with a Fortran Implementation -- Part III: Regular Bessel Functions of the First and Second Kinds and
Mofreh R Zaghloul, Steven G. Johnson
This paper is the final part in a series devoted to the development of numerically stable and efficient algorithms, together with multi-precision Fortran implementations, for compu…
Efficient Multi-Precision Computation of Bessel Functions for Real Orders and Complex Arguments with Fortran Implementation -- Part II: The Modified Bessel Function of the Second Kind,
Mofreh R. Zaghloul, Steven G. Johnson
This paper, the second in a series, presents an efficient, self-contained algorithm for computing the modified Bessel function of the second kind, \(K_ν(z)\) for complex argument a…
Efficient Multi-Precision Computation of Bessel Functions for Real Orders and Complex Arguments with Fortran Implementation -- Part I: The Modified Bessel Function of the First Kind,
Mofreh R. Zaghloul, Steven G. Johnson
This paper is the first in a series devoted to the development of efficient and highly accurate algorithms, with multiprecision \texttt{Fortran} implementations, for the computatio…
Efficient Multi-Accuracy Computations of Complex Functions with Complex Arguments
Mofreh R Zaghloul
We present an efficient multi-accuracy algorithm for the computations of a set of special functions of a complex argument, z=x+iy. These functions include the complex probability f…
Algorithm 916: computing the Faddeyeva and Voigt functions
Mofreh R. Zaghloul, Ahmed N. Ali
We present a MATLAB function for the numerical evaluation of the Faddeyeva function w(z). The function is based on a newly developed accurate algorithm. In addition to its higher a…