Integral representations for products of Airy functions .3. Quartic 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/s000330050053
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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 Painleve transcendent.
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页码：656 / 664
页数：9
相关论文
共 6 条
  • [1] Ablowitz M.J., 1991, SOLITONS NONLINEAR E
  • [2] Gradshteyn I. S., 2007, Tables of Integrals, Series, and Products, V7
  • [3] MOMENT INTEGRALS OF POWERS OF AIRY FUNCTIONS
    LAURENZI, BJ
    [J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1993, 44 (05): : 891 - 908
  • [4] 2ND PAINLEVE TRANSCENDENT
    MILES, JW
    [J]. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1978, 361 (1706): : 277 - 291
  • [5] INTEGRAL-REPRESENTATIONS FOR PRODUCTS OF AIRY FUNCTIONS
    REID, WH
    [J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1995, 46 (02): : 159 - 170
  • [6] REID WH, Z ANGEW MATH PHYS
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