Integral representations for products of Airy functions. III: Quartic products
[For Part II, see the author in ibid. 48, No. 4, 646-655 (1997; reviewed above).] Integral representations are obtained for some quartic products of the Airy functions \(Ai(z)\) and \(Bi(z)\). These integral representations are particularly useful in obtaining the constants which appear in the asymptotic expansions of their integrals. Some of these results are also relevant to the connection problem for the second Painlevé transcendent.
scientific article; zbMATH DE number 1057388