Yet another bug in LaplaceTransform

[DrBob]

Do you like this better?

$Version

"4.1 for Microsoft Windows (June 13, 2001)"

LaplaceTransform[Exp[-z^3]/z^10, z, p]

LaplaceTransform[1/(E^z^3*z^10), z, p]

Bobby Treat

-----Original Message-----
From: Vladimir Bondarenko [mailto:v...@mail.strace.net]
Subject: Yet another bug in LaplaceTransform

Hello.

Alas, Mathematica 4.2 does sadly remind me Mathematica 3.0.
Something like a small breakthrough plus ocean of bugs
(as compared with the previous release).

In particular,

$Version

"4.2 for Microsoft Windows (February 28, 2002)"

LaplaceTransform[Exp[-z^3]/z^10, z, p]

(Null*p^9)/(39366*Sqrt[3]*Pi) + (9/80)*p*Gamma[1/3]*\
HypergeometricPFQ[{-(8/3)}, {2/3, 4/3}, -(p^3/27)] +\
(3/56)*p^2*Gamma[-(1/3)]*HypergeometricPFQ[{-(7/3)},\
{4/3, 5/3}, -(p^3/27)]

Question 1. What is the origin of Null?

Question 2. What is the easiest workaround for this bug,
that is how to calculate the correct answer?

Thank you for your help in advance!

Best,

Vladimir Bondarenko