AbstractLetfn(z)=z+∑nk=2akzkbe the sequence of partial sums of a functionf(z)=z+∑∞k=2akzkthat is analytic in |z|<1 and either starlike of order α or convex of order α, 0≤α<1. When the coefficients {ak} are “small,” we determine lower bounds on Re{f(z)/fn(z}, Re{fn(z)/f(z)}, Re{f′(z)/f′n(z)}, and Re{f′n(z)/f′(z)}. In all cases, the results are sharp for eachn
Abstract. Let Ap denote the class of analytic functions of the form f(z) = zp + n=p+1 anz n (p ∈ N ...
Let H(z) = f(z) /g(z) and h(z) = f'(z) / g'(z) where bath f and g are in one of the classes whose m...
Let H(z) = f(z) /g(z) and h(z) = f'(z) / g'(z) where bath f and g are in one of the classes whose m...
Let fn(z)=z+∑k=2nakzk be the sequence of partial sums of the analytic function f(z)=z+∑k=2∞akzk. In ...
The object of the present paper is to consider the starlikeness and convexity of partial sums of cer...
Abstract. The object of the present paper is to consider of starlikeness and convexity of partial su...
Abstract. In this paper, we study the ratio of a function of the form f(z) = z + ∞X k=2 akz k to it...
ABSTRACT. For functions f(z) : z-]- •nøø=2anz n that satisfy •/e f'(z)> 0,]z] < 1, we inv...
Let Ss(α) (0≤α< 1/2) be the class of functions f(z) = z+·· · which are analytic in the unit disk ...
The nth partial sum of an analytic function f(z) = z+ k=2 akz k is the polynomial fn(z): = z+ ∑n k=...
Let ω be an arbitrary fixed point in the open unit disk {}1: < = zzU. Let)(zΨ be a fixed analytic...
Abstract. Let A be the class of analytic functions in the unit disk U = fz: jzj < 1g that are nor...
ABSTRACT. Let S be the analytic univalent functions f in the unit disk E such that f(0) = 0 = I- f&...
In this paper, we obtain Fekete-Szegö inequalities for certain class of analytic p-valent functions ...
Let be the class of analytic functions in the unit disk that are normalized with f(0)=f′(0)−1=0 and...
Abstract. Let Ap denote the class of analytic functions of the form f(z) = zp + n=p+1 anz n (p ∈ N ...
Let H(z) = f(z) /g(z) and h(z) = f'(z) / g'(z) where bath f and g are in one of the classes whose m...
Let H(z) = f(z) /g(z) and h(z) = f'(z) / g'(z) where bath f and g are in one of the classes whose m...
Let fn(z)=z+∑k=2nakzk be the sequence of partial sums of the analytic function f(z)=z+∑k=2∞akzk. In ...
The object of the present paper is to consider the starlikeness and convexity of partial sums of cer...
Abstract. The object of the present paper is to consider of starlikeness and convexity of partial su...
Abstract. In this paper, we study the ratio of a function of the form f(z) = z + ∞X k=2 akz k to it...
ABSTRACT. For functions f(z) : z-]- •nøø=2anz n that satisfy •/e f'(z)> 0,]z] < 1, we inv...
Let Ss(α) (0≤α< 1/2) be the class of functions f(z) = z+·· · which are analytic in the unit disk ...
The nth partial sum of an analytic function f(z) = z+ k=2 akz k is the polynomial fn(z): = z+ ∑n k=...
Let ω be an arbitrary fixed point in the open unit disk {}1: < = zzU. Let)(zΨ be a fixed analytic...
Abstract. Let A be the class of analytic functions in the unit disk U = fz: jzj < 1g that are nor...
ABSTRACT. Let S be the analytic univalent functions f in the unit disk E such that f(0) = 0 = I- f&...
In this paper, we obtain Fekete-Szegö inequalities for certain class of analytic p-valent functions ...
Let be the class of analytic functions in the unit disk that are normalized with f(0)=f′(0)−1=0 and...
Abstract. Let Ap denote the class of analytic functions of the form f(z) = zp + n=p+1 anz n (p ∈ N ...
Let H(z) = f(z) /g(z) and h(z) = f'(z) / g'(z) where bath f and g are in one of the classes whose m...
Let H(z) = f(z) /g(z) and h(z) = f'(z) / g'(z) where bath f and g are in one of the classes whose m...
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