Hankel determinants of second and third order for the inverse of a univalent function

Nikola Tuneski; Milutin Obradović

doi:10.5644/SJM.22.01.04

Authors

Nikola Tuneski Department of Mathematics and Informatics, Faculty of Mechanical Engineering, Ss. Cyril and Methodius University in Skopje, Karpoš II b.b., 1000 Skopje, Republic of North Macedonia
Milutin Obradović Department of Mathematics, Faculty of Civil Engineering, University of Belgrade, Bulevar Kralja Aleksandra 73, 11000 Belgrade, Serbia

DOI:

https://doi.org/10.5644/SJM.22.01.04

Keywords:

Univalent functions, Hankel determinant, Second order, Third order

Abstract

In this paper, we determine upper bounds for the modulus of the Hankel determinants of second and third order for the inverse of an univalent function. The bound for the second order determinant is sharp.

Statistics

Abstract: 2 / PDF: 1

References

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