6 papers
Quasiconformal deformations preserving Hilbert's norm and their applications
Samuel L Krushkal
This paper focuses on estimating the Taylor coefficients for Hilbert spaces of holomorphic functions on the disk using intrinsic features of univalent functions and of Teichmuller…
On Zalcman's and Bieberbach conjectures
Samuel L. Krushkal
The well-known Zalcman conjecture, which implies the Bieberbach conjecture, states that the coefficients of univalent functions on the u…
Towards a general distortion theory for univalent functions: Teichmuller spaces and coefficient problems of complex analysis
Samuel L. Krushkal
Estimating the coefficient functionals on various classes of holomorphic functions traditionally forms an important field of geometric complex analysis and its mathematical and phy…
A link between covering and coefficient theorems for holomorphic functions
Samuel L. Krushkal
Recently the author presented a new approach to solving the coefficient problems for various classes of holomorphic functions , not necessarily…
The Grunsky operator and quasiconformality: old and new
Samuel L. Krushkal
The Grunsky operator arises from univalence and plays a crucial role in geometric function theory. This operator also implies quasiconformal extendibility and has an intrinsic conn…
Teichmuller balls and biunivalent holomorphic functions
Samuel L. Krushkal
Biunivalent holomorphic functions form an interesting class in geometric function theory and are connected with special functions and solutions of complex differential equations. T…