Central limit theorem for polynomial forms. II (Q1813234)

The present paper consists of Sections 5-7 and is the continuation of [ibid. 29, No. 2, 109-128 (1989); resp. ibid. 29, No. 2, 266-289 (1989; Zbl 0687.60028)]. In Section 5 we consider the central limit theorem (c.l.t.) for Appel polynomials \(A_ n(\xi_ t)\), in Section 6 we prove that the hypotheses of the c.l.t. cannot be improved for polynomials of second order and quadratic forms, in Section 7 we give the c.l.t. for general \(n\)-th order polynomial forms.