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Integral means of certain analytic functions

By Tadayuki Sekine, Shigeyoshi Owa, Tadayuki Sekine, Shigeyoshi Owa and Rikuo Yamakawa


We introduce the analytic functions f (z) = z + k=n+1 akz k ( n ∈ N) and p(z) = z + m∑ s=1 bsj−s+1zsj−s+1 (j ≥ n + 1;n ∈ N) in the open unit disk U. By means of the subordination theorem of J.E. Littlewood, we shall investigate the integral means with coefficients inequalities of analytic functions f(z) and p(z). Some applications of the integral mean of f(z) are considered

Topics: Integral means inequalities, analytic functions, Hölder inequality, subordination. 99
Year: 2015
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