Barnard, R.W. "A variational technique for bounded starlike functions." Canadian Math. J. 27 No. 2, (1975) pp. 337-347. Home/Search Document Not in Database Summary Related Articles |
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A Survey Of Applications Of The Julia Variation - Barnard, Pearce, Campbell Self-citation (Barnard) (Correct)
....in and out, a function can be found which increases the real part of the functional L. Therefore, we have that the function f # Sn which maximizes the real part of the functional L is actually in Sm.Thus,forn # m, max f#Sn Re L(f) max f#Sm Re L(f) This proves Proposition 1. Remark. In [8] it is shown that by combining this method with Loewner theory on slit domains that this method may be applied to domains where #f(D)isnot a Jordan curve (where f(D) is a slit domain) with slight variations. Hence, this variational method involving Proposition 1 may be used to solve extremal ....
Barnard, R.W. "A variational technique for bounded starlike functions." Canadian Math. J. 27 No. 2, (1975) pp. 337-347.
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