Certain classes of univalent functions with negative coefficients II
1976 ◽
Vol 15
(3)
◽
pp. 467-473
◽
Keyword(s):
Let P*(α, β) denote the class of functionsanalytic and univalent in |z| < 1 for whichwhere α є [0, 1), β є (0, 1].Sharp results concerning coefficients, distortion theorem and radius of convexity for the class P*(α, β) are determined. A comparable theorem for the classes C*(α, β) and P*(α, β) is also obtained. Furthermore, it is shown that the class P*(α, ß) is closed under ‘arithmetic mean’ and ‘convex linear combinations’.
1985 ◽
Vol 32
(3)
◽
pp. 419-436
◽
Keyword(s):
1984 ◽
Vol 29
(3)
◽
pp. 329-348
◽
1984 ◽
Vol 30
(3)
◽
pp. 395-410
◽
Keyword(s):
1971 ◽
Vol 23
(4)
◽
pp. 712-717
◽
1976 ◽
Vol 14
(3)
◽
pp. 409-416
◽
1972 ◽
Vol 13
(2)
◽
pp. 208-218
Keyword(s):
1977 ◽
Vol 81
(1)
◽
pp. 47-57
Keyword(s):