Distortion functions for plane quasiconformal mappings |
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| Authors: | G D Anderson M K Vamanamurthy M Vuorinen |
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| Institution: | (1) Michigan State University, 48824 East Lansing, MI, USA;(2) University of Auckland, Auckland, New Zealand;(3) University of Helsinki, Helsinki, Finland |
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| Abstract: | The authors study two well-known distortion functions, λ(K) andϕ
K(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.
The work of the first author was supported in part by a grant from the United States National Science Foundation. The work
of the first and second authors was supported in part by a grant from the Academy of Finland. |
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