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- W77369980 abstract "Let f(ζ) = a + dζ… be analytic and univalent in the unit disk |ζ| < 1, mapping it conformally onto some domain D. We shall call a = f(0) the center and |d| = |f′(0)| the inner radius of D with respect to a. Roughly speaking, our problem is to find n functions (1) $$f_j(zeta) = a_j+d_j zeta + ldots, quad j=1,2,ldots,n,$$ which map the disk conformally onto nonoverlapping regions D j whose union has prescribed transfinite diameter R, with the centers a j as far apart as possible and the inner radii |d j | as large as possible. Here only n and R are specified in advance." @default.
- W77369980 created "2016-06-24" @default.
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- W77369980 date "1988-01-01" @default.
- W77369980 modified "2023-10-18" @default.
- W77369980 title "Conformal Mappings onto Nonoverlapping Regions" @default.
- W77369980 cites W2004256344 @default.
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- W77369980 doi "https://doi.org/10.1007/978-3-0348-9158-5_3" @default.
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