Results & Lemmas (2)
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COROLLARY 1.
COROLLARY 1. If f(z) = s + V a zn is starlike of order a, n=k+l n 0 s a < 1, then https://doi.org/10.1017/S0004972700023492 Published…
COROLLARY 1. If f(z) = s + V a zn is starlike of order a , n=k+l n 0 s a < 1 , then https://doi.org/10.1017/S0004972700023492 Published online by Cambridge University Press
COROLLARY 2. · coeff
COROLLARY 2. If f(z) = z + Y, a zn is in S*(0, 1), then a z n=k+l n m-1 -DI Uiv+ 2/k)] " u=0 where mk+1 5 n £ (m+l)fe, m = 1, 2, —. The…
COROLLARY 2. If f(z) = z + Y, a zn is in S*(0, 1) , then a z n=k+l n m-1 -DI Uiv+{2/k)] " u=0 where mk+1 5 n £ (m+l)fe , m = 1, 2, — . The estimates are sharp for n = mk + 1 (m = 1, 2, ...) , for REMARKS. (i) The coefficient estimates determined in [5] for the starlike functions of order a and type 3 can be obtained by putting k = 1 in the theorem. (ii) Putting 3 = % , (a, g) = (0, %) ;
Function classes studied:
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