As far as I know, F# doesn't have any built-in operator equivalent to C# as so you need to write some more complicated expression. Alternatively to your code using match, you could also use if, because the operator :? can be use in the same way as is in C#:
let res = if (inputValue :? Type1) then inputValue :?> Type1 else null
You can of course write a function to encapsulate this behavior (by writing a simple generic function that takes an Object and casts it to the specified generic type parameter):
let castAs<'T when 'T : null> (o:obj) =
match o with
| :? 'T as res -> res
| _ -> null
This implementation returns null, so it requires that the type parameter has null as a proper value (alternatively, you could use Unchecked.defaultof<'T>, which is equivalent to default(T) in C#). Now you can write just:
let res = castAs<Type1>(inputValue)