W. K. Hayman, Multivalent functions, Cambridge tracts in math 48 (1958), Cambridge Univ. Press. Home/Search Document Not in Database Summary Related Articles Check |
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A Survey Of Applications Of The Julia Variation - Barnard, Pearce, Campbell (Correct)
....the mapping radius is given as the first order coe#cient of the univalent mapping function f : D # E such that f(0) z 0 , i.e. let f(z) a 0 a 1 z a 2 z 2 . thenr 0 = a 1 . Boththe mapping radius and the Green s function depend on the domain (and z 0 ) and as was shown in [25], the mapping radius is monotonically, set theoretically and continuously dependent on the size of the domain. Let X 0 be a specific geometric characterization. We will suppose that there exist compact subclasses Sn = f # SX0 : #f(D) has at most n smooth sides such that for each f # ....
....for the boundaries of the extremal domains as follows. There is an f 0 in S with A = A(f 0 ) such that f 0 (D) is circularly symmetric with respect to the positive real axis, i.e. it has the property that for 0 r 1, # ## f 0 (re i# ) #0and # ## f 0 (re i# ) #0, for 0 # # (cf. Hayman [25]) Moreover, the #f 0 (D) consists of the negative real axis up to 1, and arc # of the unit circle that is symmetric about 1 and an arc # lying in D, except for its endpoints. The arc # is symmetric about the reals, connects to the endpoints of # and has monotonically decreasing modulus in ....
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Hayman, W.K. Multivalent functions. Cambridge Tracts in Math. and Math. Phys., No. 48, Cambridge University Press, Cambridge, MR21 #7301 (1958).
The asymptotic determinant of the discrete Laplacian - Richard Kenyon September (1998) (9 citations) (Correct)
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W. K. Hayman, Multivalent functions, Cambridge tracts in math 48 (1958), Cambridge Univ. Press.
The asymptotic determinant of the discrete Laplacian - Kenyon (1999) (9 citations) (Correct)
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W. K. Hayman, Multivalent functions, Cambridge tracts in math 48 (1958), Cambridge Univ. Press.
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