[en] The method of Novero-Predazzi is applied to a new ansatz with three constraints. Hadronic production cross-section σsub(n)(s) satisfying KNO-like constraints is determined. σsub(n)(s) and < n>Psub(n) automatically have KNO scaling property. The multiplicity distribution Psub(n) obtained is identical with the empirical formula used by Bozoki et al. The generalization of the method is investigated for more than three constraints. Assuming a given energy dependence of the parameter in the KNO function the authors have found that all calculated higher moments csub(k) of the KNO function were in excellent agreement with the observed values of csub(k)-s for pp interactions at Serpukhov, at FNAL and ISR energies. (author)