Asymptotic Expansions of Solutions of Delta2 K2uo

Cover Asymptotic Expansions of Solutions of Delta2 K2uo
Asymptotic Expansions of Solutions of Delta2 K2uo
F G Friedlander
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, n P^(n)' n V2^^^ " V^M If any of these equations has no solution, the corresponding p. (n) is not defined and the corresponding term is omitted from (lU).
To exemplify these results for the case 3, P^(n) » n-i (i » 1, 2, 3). Thus from (lU) we obtain - 6 - (16) 2Vv^ • V{2 + v^y^(? - i(V/^)^ Vp, (17) 27V2 • V^ + VgV^J? = i(v/)^v^ - i(2Vv^ • vX+ v^V^/), (18) 2Vv^ • V9 + v^7^;2 - i(^^)^Vr^^^^V2*^^*V2^^'^^* ^^\-3» " - ^* 1 13 As another example, let a ■ y. Then l-2a ■ p- ^ l- 0, Thus the K f
...orm a sequence of multiples of —, with the term -r itself omitted. From (15) we find that p, (l) • while Pp(l) and p, (l) are undefined; P2(2) = while p-, (2) and p-(2) are undefined; p, (3) * i, p.^(3) - while P2(3) is undefined; and for n > 3, P- (n) • n-i-1 (i»l, 2, 3).

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