As you can see from the ly-file I first use a tie, then a slur, then a double dot.
I think that you could get away with the second as a tie, mostly because it uncommon to slur notes of the same pitch. But I don't think it is preferred practise to use it this way. The double dot could be used, but in contemporary notation I think a tie is preferred.
Peter Bjuhr
\version "2.16.2"
\relative c'' {
\voiceTwo a8~^"tie!" a16. b32
a8(^"tie or slur?" a16. ) b32
a8..^"double dot" b32
}<<attachment: tie_or_slur.png>>
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