Application of Coulomb wave functions to an orthogonal series associated with steady axisymmetric Euler flows

Authors:
Takahiro Nishiyama
Affiliations:
Department of Applied Science, Yamaguchi University, Ube 755-8611, Japan
Venue:
Journal of Approximation Theory
Year:
2008

Citing 3
Cited 0

Coulomb and Bessel functions of complex arguments and order

Journal of Computational Physics
A new expansion of the confluent hypergeometric function in terms of modified Bessel functions

Journal of Computational and Applied Mathematics
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,

Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,

Quantified Score

Hi-index	0.00

Visualization

Abstract

The regular Coulomb wave function of order zero is applied to an orthogonal series which is associated with the steady axisymmetric Euler equations. The series expansion of a function of bounded variation is proved to converge to the mean value of the left- and the right-hand limits of the original function at each point. In this proof, some complex functions related to the regular and the irregular Coulomb wave functions of orders zero and one are used.