Bounded l-index and infinite products of infinite genus

Анотація

We established conditions on zeros of infinite product of infinite genus providing $l$-index boundedness of the product.  Our investigation uses the known logarithmic criterion of $l$-index boundedness which describes the behavior of logarithmic derivative outside some exceptional set and uniform distribution of zeros in some sense. The main results are solutions of Skaskiv's problem on  sufficient conditions of $l$-index boundedness for infinite products of infinite genus.