Riccati equation-based generalization of Dawson's integral function

Details Riccati equation-based generalization of Dawson's integral function Riccati equation-based generalization of Dawson's integral function

2007-06-15

arxiv.org/abs/0706.2303v1

Physics

Mathematical Physics

11 pages. Accepted on Mathematical Methods in the Applied Sciences

Scientific paper

10.1002/mma.916

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.

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