Is there any way to define pure functions with optional arguments?

For example consider the following function:

Function[{u,v},u^2+v^4]

Is there anyway to define default values for the variables u and v?

I know that this is possible for ordinary functions as follows:

f[u_:1,v_:0]:=u^2+v^4

But I am looking for a way to do this with pure functions defined by Function[].

Answer

As far as I know there is no way to do this with the named parameter form of Function but you can use destructuring methods with SlotSequence (##):

f = {##} /. {u_: 1, v_: 0} :> body[u, v] &;


f[]
f[7]
f[7, 8]

body[1, 0]

body[7, 0]


body[7, 8]

It is possible to give your pure function Attributes using an undocumented form.
For Hold attributes you could use Hold or HoldComplete:

g = Function[Null, Hold[##] /. _[u_: 1, v_: 0] :> HoldForm[{u, v}], HoldAll];

g[1 + 1]

{1 + 1, 0}