Some properties of branched continued fractions of special form

R. I. Dmytryshyn

Abstract


The fact that the values of the approximates of the positive definite branched continued fraction of special form are all in a certain circle is established for the certain conditions. The uniform convergence of branched continued fraction of special form, which is a particular case of the mentioned fraction, in the some limited parabolic region is investigated.


Keywords


branched continued fraction of special form

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