Sharp Bohr inequalities for bounded analytic functions involving multiple Schwarz functions, together with an improved Rogosinski inequality, are established in the unit disk.
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Determines sharp radii for g h / z, z²/g(z), and z² / ∫(t/g(t)) dt to lie in M(λ) when g,h ∈ suitable subclasses of S, plus sharp Bohr, Bohr-Rogosinski, and improved Bohr radii for a subclass of starlike functions.
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The Bohr's Phenomenon involving multiple Schwarz functions
Sharp Bohr inequalities for bounded analytic functions involving multiple Schwarz functions, together with an improved Rogosinski inequality, are established in the unit disk.