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Mathematical Methods in the Applied Sciences
Article . 2007 . Peer-reviewed
License: Wiley Online Library User Agreement
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Article . 2007
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Riccati equation‐based generalization of Dawson's integral function

Riccati equation-based generalization of Dawson's integral function
Authors: MESSINA, Riccardo; JIVULESCU, Maria Anastasia; MESSINA, Antonino; NAPOLI, Anna;

Riccati equation‐based generalization of Dawson's integral function

Abstract

AbstractA 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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Italy
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Keywords

Riccati equation, Dawson’s integral function, Formal solutions and transform techniques for ordinary differential equations in the complex domain, Other functions coming from differential, difference and integral equations, error function, special function Dawson's integral function, Mathematical Physics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
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