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Note on Schiffer’s Variation in the Class of Univalent Functions in the Unit Disc
Published online by Cambridge University Press: 22 January 2016
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Let S denote the class of univalent functions f(z) in the unit disc D: | z | < 1 with the following expansion:
(1) f(z) = z + a2z2 + a3z3 + · · · · anzn + · ··.
We denote by fn(z) the extremal function in S which gives the maximum value of the real part of an and by Dn the image of D under w = fn(z).
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- Copyright © Editorial Board of Nagoya Mathematical Journal 1968
References
[1]
Schiffer, M.: A method of variation within the family of simple functions, Proc. London Math. Soc., 44 (1938), 432–449.CrossRefGoogle Scholar
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