Abstract
is said to be in V(θn) if the analytic and univalent function f in the unit disc E is nozmalised by f(0) = 0, f′(0) = 1 and arg an = θn for all n. If further there exists a real number β such that θn + (n − 1)β ≡ π(mod2π) then f is said to be in V(θn, β). The union of V(θn, β) taken over all possible sequence {θn} and all possible real number β is denoted by V. Vn(A, B) consists of functions f ∈ V such that urn:x-wiley:01611712:media:ijmm453427:ijmm453427-math-0002 −1 ≤ A < B ≤ 1, where n ∈ NU{0} and w(z) is analytic, w(0) = 0 and |w(z)| < 1, z ∈ E. In this paper we find the coefficient inequalities, and prove distortion theorems.
Highlights
Let A denote the class of functions f(z) analytic in theX unit dsc E {z zl
If further there exists a real number p such that On+(n-l) p x(mod 2=) f is said to be in V((n,)
In this paper we find the coefficient inequalities, and prove distortion theorems
Summary
N) is said to be in V(6 if the analytic and univalent function f in the unit disc E is nozmallsed by f(O) O, f’(O) I and arg an If further there exists a real number p such that On+(n-l) p x(mod 2=) f is said to be in V((n,). The union of V(en,) taken over all possible 6 sequence and all possible real number is denoted by V.
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