Beware of a bug in Maple V R4 hypergeom function. The following examples illustrate the problem:
This ﬁrst computation causes no problems, but when k is used in place of x, we get a serious error:
The hypergeom function uses k as a summation index, however, this variable has not been declared as a local variable. Consequently, the index variable k is assumed to be global and gets confused with the formal parameter variable that evaluates to 2*(-1)^(1/2)*k.
This one should be of interest to Technical Support and the Maple developers to ﬁx.
The bug is removed with Maple V Release 5. (U. Klein)