As described in the link you posted. You can use Y-combinator. Here is example:
scala> def fix[A,B](f: (A=>B)=>(A=>B)): A=>B = f(fix(f))(_)
fix: [A,B](f: ((A) => B) => (A) => B)(A) => B
scala> val fact = fix[Int,Int](f => a => if(a<=0) 1 else f(a-1) * a)
fact: (Int) => Int = <function1>
scala> fact(12)
res0: Int = 479001600
Note it doesn't work with big numbers.
Be careful with tail call optimization.
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