INTEGRAL-REPRESENTATIONS FOR PRODUCTS OF AIRY FUNCTIONS .2. CUBIC PRODUCTS

Authors
REID WH
Citation
Wh. Reid, INTEGRAL-REPRESENTATIONS FOR PRODUCTS OF AIRY FUNCTIONS .2. CUBIC PRODUCTS, Zeitschrift fur angewandte Mathematik und Physik, 48(4), 1997, pp. 646-655
Citations number
4
Categorie Soggetti
Mathematics,"Mathematical Method, Physical Science",Mathematics
Journal title
Zeitschrift fur angewandte Mathematik und Physik → ACNP
ISSN journal
00442275
Volume
48
Issue
4
Year of publication
1997
Pages
646 - 655
Database
ISI
SICI code
0044-2275(1997)48:4<646:IFPOAF>2.0.ZU;2-R
Abstract
Integral representations are obtained for some cubic products of the A iry functions Ai(z) and Bi(z). These integral representations are of t he Laplace contour type but they involve the modified Bessel functions of order 1/6. From these results it is then possible to evaluate a nu mber of definite integrals involving such cubic products.