This paper investigates the relationship between some rapidly convergent series of exponential functions for computing Dawson's integral. These series are the result of approximating a certain improper integral by a shifted rectangular quadrature rule. Dawson's original method and a more recent expa
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Elementary approximations for Dawson's integral
β Scribed by F.G. Lether; P.R. Wenston
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 116 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0022-4073
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## Abstract A new generalization of Dawson's integral function based on the link between a Riccati nonlinear differential equation and a secondβorder ordinary differential equation is reported. The MacLaurin expansion of this generalized function is built up and to this end an explicit formula for
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