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researcher

T. K. Carne

2 papers hereh-index 121.6k citations31 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • sole author1
  • last author1

Across the 2 of 2 papers where every author was matched, so the position is known.

fields
  • math.CV2

identity via Semantic Scholar / OpenAlex

most citedEuclidean and hyperbolic lenghs of images of arcs

7 citations · 7 across the 2 of their papers we have counts for

collaborators

2 papers

math.CV2007★ 7 cited

Euclidean and hyperbolic lenghs of images of arcs

A. F. Beardon, T. K. Carne

Let f be a function that is analytic in the unit disc. We give new estimates, and new proofs of existing estimates, of the Euclidean length of the image under f of a radial seg…

math.CV2007

Spherical and hyperbolic lengths of images of arcs

T. K. Carne

Let f be an analytic function on the unit disc which is in the Dirichlet class, so the Euclidean area of the image, counting multiplicity, is finite. The Euclidean length of a ra…

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Not affiliated with arXiv. Researcher data from Semantic Scholar (ODC-BY) and OpenAlex.