A new generalization of Dawson’s integral function based on the link between a Riccati nonlinear differ-ential equation and a second-order ordinary differential equation is reported. The MacLaurin expansionof this generalized function is built up and to this end an explicit formula for a generic cofactor of atriangular matrix is deduced
Messina R, Jivulescu MA, Messina A, Napoli A (2007). Riccati equation - based generalization of Dawson’s integral function. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 30 [10.1002/mma.916].
Riccati equation - based generalization of Dawson’s integral function
MESSINA, Riccardo;JIVULESCU, Maria Anastasia;MESSINA, Antonino;NAPOLI, Anna
2007-01-01
Abstract
A new generalization of Dawson’s integral function based on the link between a Riccati nonlinear differ-ential equation and a second-order ordinary differential equation is reported. The MacLaurin expansionof this generalized function is built up and to this end an explicit formula for a generic cofactor of atriangular matrix is deduced
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