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Teichmüller space theory and classical problems of geometric function theory

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Recently the author presented a new approach to solving the coefficient problems for holomorphic functions based on the deep features of Teichmüller spaces.It involves the Bers isomorphism theorem for Teichmüller… Click to show full abstract

Recently the author presented a new approach to solving the coefficient problems for holomorphic functions based on the deep features of Teichmüller spaces.It involves the Bers isomorphism theorem for Teichmüller spaces of punctured Riemann surfaces. The aim of the present paper is to provide new applications of this approach and extend the indicated results to more general classes of functions 2010 Mathematics Subject Classification: Primary: 30C50, 30C75, 30F60; Secondary 30C55, 30C62, 31A05, 32L05, 32Q45

Keywords: theory; teichm ller; ller space; classical problems; theory classical; space theory

Journal Title: Journal of Mathematical Sciences
Year Published: 2021

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