Steven G. Johnson

collaborators

2 papers

math.NA2026

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 $J_{I^} ½ (z)$ and $Y_{I^} ½ (z)$

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…

math.NA2026

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, $K_{I^} ½ (z)$

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, $K_Î½(z)$ for complex argument…

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 JI^​½(z) and YI^​½(z)

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, KI^​½(z)

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 $J_{I^} ½ (z)$ and $Y_{I^} ½ (z)$

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, $K_{I^} ½ (z)$