The sharp estimates of all initial taylor coefficients in the Krzyz's problem

Details The sharp estimates of all initial taylor coefficients in the Krzyz's problem The sharp estimates of all initial taylor coefficients in the Krzyz's problem

2011-04-20

arxiv.org/abs/1104.3984v1

Mathematics

Complex Variables

7 pages, 6 references; Application of functional analysis in approximation theory. Tver, 2010. P.52-60

Scientific paper

For each $t>0,$ up to the number $n=N(t),$ the exact estimations of all
initial taylor coefficients in the class $B_t$ were found, where $B_t$ is a set
of holomorphic in unit disk functions $f,$ $0<|f|<1,$ $f(0)=e^{-t}.$

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