Integral representations for products of Airy functions. II: Cubic products
[For Part I see the author in ibid. 46, No. 2, 159-170 (1995; Zbl 0824.33002).] Integral representations are obtained for some cubic products of the Airy functions \(Ai(z)\) and \(Bi(z)\). These integral representations are of the Laplace contour type but they involve the modified Bessel functions of order \(\frac{1}{6}\). From these results it is possible to evaluate a number of definite integrals involving such cubic products.
scientific article; zbMATH DE number 1057387