Integral representations for products of Airy functions ¶Part 2. Cubic products

  • W. H. Reid

Abstract.

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 \(\frac 16\). From these results it is then possible to evaluate a number of definite integrals involving such cubic products.

Key words. Airy functions, integral representations, asymptotic expansions. 

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Copyright information

© Birkhäuser Verlag, Basel, 1997

Authors and Affiliations

  • W. H. Reid
    • 1
  1. 1.Dept. of Mathematical Sciences, Indiana University-Purdue University, Indianapolis, Indiana, 46202-3216, USA, (Fax: 317-274-3460)US

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