Abstract
By a parabola-shaped domain we mean a planar domain lying between the curves y = x α and y = − x α, the case α = 1/2 corresponding to the standard parabola. We obtain asymptotic estimates for conformal mappings of such domains onto standard regions, and for the derivatives of such maps.
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References
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Carroll, T., Hayman, W.K. Conformal Mapping of Parabola-Shaped Domains. Comput. Methods Funct. Theory 4, 111–126 (2004). https://doi.org/10.1007/BF03321059
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DOI: https://doi.org/10.1007/BF03321059