On Coefficient Inequalities for Meromorphic Univalent Functions
Copyright policy )On Coefficient Inequalities for Meromorphic Univalent Functions
We obtain some coefficient inequalities for the class Σ \Sigma consisting of functions of the form f ( z ) = z + b 0 + b 1 / z + ⋯ f(z) = z + {b_0} + {b_1}/z + \cdots that are meromorphic and univalent in the exterior of the unit circle | z | = 1 |z| = 1 . These inequalities disprove two conjectures of Schober about linear functionals on Σ \Sigma .
Coefficient problems for univalent and multivalent functions of one complex variable, Extremal problems for conformal and quasiconformal mappings, variational methods, Schober-conjecture, General theory of univalent and multivalent functions of one complex variable, Coefficient inequalities
Coefficient problems for univalent and multivalent functions of one complex variable, Extremal problems for conformal and quasiconformal mappings, variational methods, Schober-conjecture, General theory of univalent and multivalent functions of one complex variable, Coefficient inequalities
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