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Two classes of special functions for the phase-integral approximation

J A Campbell

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Two classes of functions obtainable from the special function Y2n for the phase-integral approximation are computed symbolically. The first class is that of functions Z2n and U2n, where Y2n=Z2n+DU2n, and D is a differential operator. It has the advantage of simplifying the evaluation of integrals involving Y2n. The second class, of functions A2nand B2n-2 which are derived from Z2n, is associated with an important integral identity in the phase-integral approximation.


PACS

02.30.Gp Special functions

02.70.Wz Symbolic computation (computer algebra)

02.30.Tb Operator theory

02.60.Nm Integral and integrodifferential equations

MSC

34Lxx Ordinary differential operators (See also 47E05)

65D30 Numerical integration

65D20 Computation of special functions, construction of tables (See also 33F05)

Subjects

Mathematical physics

Computational physics

Dates

Issue 8 (August 1979)



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