“…The functions of the second kind satisfy the following recurrence relations. For every n ≥ p, 0 ≤ k ≤ p, we have [15,Proposition 3.2] zΨ n,k (z) = Ψ n+1,k (z) + a n Ψ n−p,k (z), and if n ≡ ℓ mod (p + 1), 0 ≤ ℓ ≤ p − 1, then ψ n,k (z) = ψ n+1,k (z) + a n ψ n−p,k (z), (2.4) while if n ≡ p mod (p + 1), then zψ n,k (z) = ψ n+1,k (z) + a n ψ n−p,k (z).…”