Functions regular in the unit circle
1956 ◽
Vol 52
(1)
◽
pp. 49-60
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Letbe a function regular for | z | < 1. With the hypotheses f(0) = 0 andfor some positive constant α, Cartwright(1) has deduced upper bounds for |f(z) | in the unit circle. Three cases have arisen and according as (1) holds with α < 1, α = 1 or α > 1, the bounds on each circle | z | = r are given respectively byK(α) being a constant which depends only on the corresponding value of α which occurs in (1). We shall always use the symbols K and A to represent constants dependent on certain parameters such as α, not necessarily having the same value at each occurrence.
1962 ◽
Vol 14
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pp. 540-551
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Keyword(s):
1993 ◽
Vol 2
(2)
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pp. 145-156
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Keyword(s):
1966 ◽
Vol 62
(4)
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pp. 637-642
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Keyword(s):
Keyword(s):
1991 ◽
Vol 43
(1)
◽
pp. 182-212
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1994 ◽
Vol 37
(1)
◽
pp. 73-89
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Keyword(s):
1964 ◽
Vol 16
◽
pp. 721-728
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1970 ◽
Vol 17
(1)
◽
pp. 23-36
Keyword(s):
1970 ◽
Vol 13
(1)
◽
pp. 115-118
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Keyword(s):
1962 ◽
Vol 13
(2)
◽
pp. 173-174