Abstract
Conditions of existence of a quadratic differential which has poles of high orders at the points ck, k=1,...,p, and is the limit of a sequence of quadratic differentials of a special type are established. The quadratic differential mentioned has no poles of order greater than 2 and has poles of order 2 at the points situated in a suitable uniform way on the circles |z-ck|=ɛk,ɛk→0, k=1, ..., p.
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