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

被引：0
作者：
Reid, WH
机构：
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 1997年 / 48卷 / 04期
关键词：
Airy functions; integral representations; asymptotic expansions;
D O I：
10.1007/s000330050052
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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 1/6. From these results it is then possible to evaluate a number of definite integrals involving such cubic products.
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页码：646 / 655
页数：10
相关论文
共 4 条
  • [1] KAMKE E, 1944, DIFFERENTIALGLEICHUN
  • [2] MOMENT INTEGRALS OF POWERS OF AIRY FUNCTIONS
    LAURENZI, BJ
    [J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1993, 44 (05): : 891 - 908
  • [3] OLVER FWJ, 1964, ASYMPTOTIC SOLUTIONS, P163
  • [4] INTEGRAL-REPRESENTATIONS FOR PRODUCTS OF AIRY FUNCTIONS
    REID, WH
    [J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1995, 46 (02): : 159 - 170
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