6533b85cfe1ef96bd12bd480

RESEARCH PRODUCT

Riccati equation-based generalization of Dawson's integral function

Antonino MessinaMaria Anastasia JivulescuAnna NapoliRiccardo Messina

subject

Riccati equation Dawson’s integral functionGeneralized functionDifferential equationGeneralizationGeneral MathematicsGeneral EngineeringTriangular matrixFunction (mathematics)Error functionOrdinary differential equationRiccati equationApplied mathematicsMathematical PhysicsMathematics

description

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.

yearjournalcountryeditionlanguage
2007-06-15
10.1002/mma.916http://arxiv.org/abs/0706.2303