Estimates for the real taylor coefficients in one function class

Abstract

Considering the class {ie48-01} of analytic functions {ie48-02} in the unit disk with a (m,n) epsilon a"e and the nonvanishing nth divided difference [F(z);z (0), a <-, z (n) ] for all z (0), a"e, z (n) a E we establish that {ie48-03}, where {ie48-04}. If n is an odd number then {ie48-05}.