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Scorer functions

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11: Software Index
12: 9.13 Generalized Airy Functions
§9.13 Generalized Airy Functions
§9.13(i) Generalizations from the Differential Equation
(All solutions of (9.13.1) are entire functions of z .) …
13: 3.5 Quadrature
A second example is provided in Gil et al. (2001), where the method of contour integration is used to evaluate Scorer functions of complex argument (§9.12). … …
14: 2.4 Contour Integrals
and assigning an appropriate value to c to modify the contour, the approximating integral is reducible to an Airy function or a Scorer function (§§9.2, 9.12). …
15: Bibliography S
  • R. S. Scorer (1950) Numerical evaluation of integrals of the form I = x 1 x 2 f ( x ) e i ϕ ( x ) 𝑑 x and the tabulation of the function Gi ( z ) = ( 1 / π ) 0 sin ( u z + 1 3 u 3 ) 𝑑 u . Quart. J. Mech. Appl. Math. 3 (1), pp. 107–112.