On the asymptotic expansion of Airy's Integral
1963 ◽
Vol 6
(2)
◽
pp. 113-115
◽
Keyword(s):
The integral functionis known as Airy's Integral since, when z is real, it is equal to the integralwhich first arose in Airy's researches on optics. It is readily seen that w= Ai(z) satisfies the differential equation d2w/dz2 = zw, an equation which also has solutions Ai(ωz), Ai(ω2z), where ω is the complex cube root of unity, exp 2/3πi. The three solutions are connected by the relation.
1986 ◽
Vol 102
(3-4)
◽
pp. 253-257
◽
1981 ◽
Vol 89
(1)
◽
pp. 159-166
1985 ◽
Vol 27
◽
pp. 165-184
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Keyword(s):
1986 ◽
Vol 102
(3-4)
◽
pp. 243-251
◽
1960 ◽
Vol 1
(4)
◽
pp. 439-464
◽
2008 ◽
Vol 144
(4)
◽
pp. 867-919
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Keyword(s):
1968 ◽
Vol 64
(2)
◽
pp. 439-446
◽
1964 ◽
Vol 4
(2)
◽
pp. 179-194
◽
1995 ◽
Vol 36
(4)
◽
pp. 438-459
◽
1963 ◽
Vol 3
(2)
◽
pp. 202-206
◽
Keyword(s):