Differences between these three ways of defining a function in Scala

Given three ways of expressing the same function f(a) := a + 1:

val f1 = (a:Int) => a + 1
def f2 = (a:Int) => a + 1
def f3:(Int => Int) = a => a + 1

How do these definitions differ? The REPL does not indicate any obvious differences:

scala> f1
res38: (Int) => Int = <function1>
scala> f2
res39: (Int) => Int = <function1>
scala> f3
res40: (Int) => Int = <function1>