R. MESSINA, Antonino MESSINA and Anna NAPOLI
Dipartimento di Schienze Fisiche ed Astronomiche,
Universita di Palermo,
Via Archirafi 36,
I-90123 Palermo,
ITALY
E-mail: messina@fisica.unipa.it

Riccati equation-based generalization of the Dawson integral function

Abstract:
An interesting representation of the general integral of a linear homogeneous second order ordinary differential equation is constructed exploiting its link with the theory of Riccati equation. As an application we are able to propose a new generalization of the Dawson integral function and to find its Taylor expansion in R. Other novel functions are introduced and studied by this method.