Dawson's Integral

An Voigt lineshape:

(1)

(2)

			(3)
			(4)

(5)

(6)

(7)

(8)

References

Abramowitz, M. and Stegun, C. A. (Eds.). Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, p. 298, 1972.

Press, W. H.; Flannery, B. P.; Teukolsky, S. A.; and Vetterling, W. T. ``Dawson's Integrals.'' §6.10 in Numerical Recipes in FORTRAN: The Art of Scientific Computing, 2nd ed. Cambridge, England: Cambridge University Press, pp. 252-254, 1992.

Spanier, J. and Oldham, K. B. ``Dawson's Integral.'' Ch. 42 in An Atlas of Functions. Washington, DC: Hemisphere, pp. 405-410, 1987.

• Riccati Differential Equation
• Ricci Curvature
• Ricci Tensor
• Rice Distribution
• Richardson Extrapolation
• Richardson's Theorem
• Richard's Paradox
• Ridders' Method
• Ridge
• Riemann-Christoffel Tensor
• Riemann Curve Theorem
• Riemann Differential Equation
• Riemann Function
• Riemann Hypothesis
• Riemannian Geometry
• Riemannian Geometry (Non-Euclidean)
• Riemannian Manifold
• Riemannian Metric
• Riemann Integral
• Riemann-Lebesgue Lemma
• Riemann-Mangoldt Function
• Riemann Mapping Theorem
• Riemann P-Differential Equation
• Riemann P-Series
• Riemann-Roch Theorem