activity
20092022
most citedExtremal quasiconformality vs rational approximation

9 citations · 17 across the 7 of their papers we have counts for

collaborators

12 papers

math.CV2022

Quasiconformal deformations of nonvanishing functions and the Hummel-Scheinberg-Zalcman conjecture

Samuel L. Krushkal

Recently the author proved that the 1977 Hummel-Scheinberg-Zalcman conjecture on coefficients of nonvanishing functions is true for all , i.e., for…

math.CV2022

Grunsky operator, Grinshpan's conjecture and universal Teichmuller space

Samuel L. Krushkal

A. Grinshpan posed a deep conjecture on the norm of the Grunsky operator generated by univalent functions in the disk. It gives a quantitative answer in terms of the Grunsky coeffi…

math.CV20217 cited

Teichmuller space theory and classical problems of geometric function theory

Samuel L. Krushkal

Recently the author presented a new approach to solving the coefficient problems for holomorphic functions based on the deep features of Teichmuller spaces. It involves the Bers is…

math.CV2021

On holomorphic contractibility of Teichmuller spaces

Samuel L. Krushkal

The problem of holomorphic contractibilty of the Teichmuller spaces of punctured spheres () arose in the 1970s in connection with solving algebraic equations in Ba…

math.CV2020

A new look at Krzyz's conjecture

Samuel L. Krushkal

Recently the author has presented a new approach to solving extremal problems of geometric function theory. It involves the Bers isomorphism theorem for Teichmuller spaces of punct…

math.CV20199 cited

Extremal quasiconformality vs rational approximation

Samuel L. Krushkal

We show that on most of the hyperbolic simply connected domains the weighted bounded rational approximation in a natural sup norm is possible only for a very sparse set of holomorp…