Abstract
Integral representations are obtained for some products of the Airy functions Ai(x), Bi(x), and Ai(xe ±πi/6). From these results it is then possible to evaluate certain definite integrals including a number of Mellin transforms.
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Reid, W.H. Integral representations for products of Airy functions. Z. angew. Math. Phys. 46, 159–170 (1995). https://doi.org/10.1007/BF00944750
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DOI: https://doi.org/10.1007/BF00944750