over%20infinite%20intervals
(0.002 seconds)
31—40 of 369 matching pages
31: 7.23 Tables
Abramowitz and Stegun (1964, Chapter 7) includes , , , 10D; , , 8S; , , 7D; , , , 6S; , , 10D; , , 9D; , , , 7D; , , , , 15D.
Finn and Mugglestone (1965) includes the Voigt function , , , 6S.
Zhang and Jin (1996, pp. 638, 640–641) includes the real and imaginary parts of , , , 7D and 8D, respectively; the real and imaginary parts of , , , 8D, together with the corresponding modulus and phase to 8D and 6D (degrees), respectively.
32: 1.5 Calculus of Two or More Variables
Infinite Integrals
►Suppose that are finite, is finite or , and , are continuous on the partly-closed rectangle or infinite strip . … ►Then the double integral of over is defined by … ►Infinite Double Integrals
… ►Moreover, if are finite or infinite constants and is piecewise continuous on the set , then …33: 7.24 Approximations
Cody (1969) provides minimax rational approximations for and . The maximum relative precision is about 20S.
Cody et al. (1970) gives minimax rational approximations to Dawson’s integral (maximum relative precision 20S–22S).
Schonfelder (1978) gives coefficients of Chebyshev expansions for on , for on , and for on (30D).
Shepherd and Laframboise (1981) gives coefficients of Chebyshev series for on (22D).