Distortion functions for plane quasiconformal mappings

: Anderson G., Vamanamurthy M., Vuorinen M.

Publisher: Springer-Verlag

: 1988

Israel Journal of Mathematics

: 62

: 1

: 16

: 0021-2172

DOI: https://doi.org/10.1007/BF02767349

: http://api.elsevier.com/content/abstract/scopus_id:51249171681

The authors study two well-known distortion functions, λ(K) and φ{symbol}(r), of the theory of plane quasiconformal mappings and obtain several new inequalities for them. The proofs make use of some properties of elliptic integrals. © 1988 The Weizmann Science Press of Israel.