TY - JOUR
T1 - Zeros of the Whittaker function associated to Coulomb waves
AU - Esparza, Javier
AU - López, José L.
AU - Sesma, Javier
N1 - Funding Information:
The authors are grateful to the referees for pointing out some mistakes in a previous version of this paper and suggesting improvements in the presentation of the results. The work was "nancially supported by the Comisión Interministerial de Ciencia y Tecnolog´1a.
PY - 1999/8
Y1 - 1999/8
N2 - The zeros of Wc/z,μ (z), in the complex z-plane, for real c and μ, are studied. Approximate analytical expressions for the location of the zeros for some particular values of the parameters are obtained. In addition, different algorithms for the evaluation of the zeros of Wc/z,μ (z), and the behavior of those zeros in the complex z-plane are considered.
AB - The zeros of Wc/z,μ (z), in the complex z-plane, for real c and μ, are studied. Approximate analytical expressions for the location of the zeros for some particular values of the parameters are obtained. In addition, different algorithms for the evaluation of the zeros of Wc/z,μ (z), and the behavior of those zeros in the complex z-plane are considered.
UR - http://www.scopus.com/inward/record.url?scp=0033169489&partnerID=8YFLogxK
U2 - 10.1093/imamat/63.1.71
DO - 10.1093/imamat/63.1.71
M3 - Article
AN - SCOPUS:0033169489
SN - 0272-4960
VL - 63
SP - 71
EP - 87
JO - IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)
JF - IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)
IS - 1
ER -