The grunsky operator and coefficient differences

Abstract

We investigate some coefficient properties of univalent functions related to their Grunsky operators and quasiconformal extendibility. We find some bounds of the sharp growth order in n and numerical estimates for coefficient differences of analytic and univalent functions in the unit disk. These results depend on a restriction of the norm of the Grunsky operator.

AMS No.:

• Quasiconformally extendible univalent functions
• The Grunsky operator
• Coefficient bounds
• AMS No. 30C50
• AMS No. 30C75
• AMS No. 30C55

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†[email protected]

Notes

^* [email protected]

†[email protected]