Integrals of products of Airy functions

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, , Citation J R Albright 1977 J. Phys. A: Math. Gen. 10 485 DOI 10.1088/0305-4470/10/4/011

0305-4470/10/4/485

Abstract

A large number of indefinite integrals of the form integral xny1y2dx have been evaluated in terms of x, y1, y2 and their first derivatives; y1 and y2 are both solutions of the differential equation y"=xy. Some of these integrals can be applied to the quantum mechanical problem of a particle in a uniform field of force.

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10.1088/0305-4470/10/4/011