Riccati equation-based generalization of Dawson's integral function
Mathematical Physics
2012-06-05 v1 math.MP
Abstract
A new generalization of Dawson's integral function based on the link between a Riccati nonlinear differential equation and a second-order ordinary differential equation is reported. The MacLaurin expansion of this generalized function is built up and to this end an explicit formula for a generic cofactor of a triangular matrix is deduced.
Keywords
Cite
@article{arxiv.0706.2303,
title = {Riccati equation-based generalization of Dawson's integral function},
author = {R. Messina and M. A. Jivulescu and A. Messina and A. Napoli},
journal= {arXiv preprint arXiv:0706.2303},
year = {2012}
}