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Riccati equation-based generalization of Dawson's integral function

✍ Scribed by R. Messina; M. A. Jivulescu; A. Messina; A. Napoli

Publisher: John Wiley and Sons
Year: 2007
Tongue: English
Weight: 111 KB
Volume: 30
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.916

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✦ Synopsis

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. Copyright © 2007 John Wiley & Sons, Ltd.

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