f=(((x+y))^3)+3x+a y +b y+x (y^2)/(7z+c)+1+(x^3)(y^5)

Collect[f, (x^(_.))(y^(_.))]

Collect[f,{x,y}]

MonomialList[f, {x,y}]

CoefficientRules[f, {x,y}]

Replace[
MonomialList[f, {x,y}],
a_.(x^(m_.))(y^(n_.)) :> {a,m,n},
{1}
]

Replace[a_.(x^(m_.))(y^(n_.)) :> {a,m,n}] /@ MonomialList[f, {x,y}]

Replace[({m_,n_}->c_):>{c,m,n}]/@CoefficientRules[f, {x,y}]

Table[Expand[D[D[(E^(α x+β y+z α β)),{α,m}],{β,n}]/(E^(α x+β y+z α β))], {m,0,3}, {n,0,3}] // MatrixForm