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Operations on RegularExpression matches


All:

I have string of all lower case letters:

	string = "this is a string"

I wish to capitalize the first letter:

	StringReplace[string, StartOfString ~~ x_ -> ToUpperCase[x]]  (* Does want I want *)

Now I try to do the same thing using RegularExpression:

	StringReplace[string, RegularExpression["(^.)"] -> ToUpperCase["$1"]]

which fails (returns original string without capitalization).

I know the match is occurring since

	StringReplace[string, RegularExpression["(^.)"] -> ToUpperCase["$1X"]]

returns

	"tXhis is a string"

What am I missing about using the matched part of a regular expression? 

Thanks.


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