On a Two-Point Version of Transfinite Diameter

Authors

  • S. F. Buslaeva

Abstract

We study properties of a two-point version of the transfinite diameter of a set. By using relations obtained for its calculation, we prove a two-point version of the well-known Pólya theorem on an estimate from above for the Hankel determinants of a holomorphic function.

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Published

25.09.2001

Issue

Vol. 53 No. 9 (2001)

Section

Research articles

How to Cite

Buslaeva, S. F. “On a Two-Point Version of Transfinite Diameter”. Ukrains’kyi Matematychnyi Zhurnal, vol. 53, no. 9, Sept. 2001, pp. 1155-60, https://umj.imath.kiev.ua/index.php/umj/article/view/4333.