Add to ORKGStrict upper bounds are determined for |s(z)|, |Re s(z)|, and |Im s(z) | in the class of functions s(z)=anzn+an+1zn+1+... (n1) regular in |z|0, and θ1 and θ2 are arbitrary real numbers. These bounds are used in the determination of radii of convexity and close-to-convexity of certain integral representations. © 1970 Consultants Bureau
AbstractLet φ(z) be an analytic function with positive real part on Δ={z;|z|<1} with φ(0)=1, φ′(0)>0...
In [2], MacGregor found the radius of convexity of the functions f(z)=z+a2z2+a3z3+…, analytic and un...
In [2], MacGregor found the radius of convexity of the functions f(z)=z+a2z2+a3z3+…, analytic and un...
Strict upper bounds are determined for |s(z)|, |Re s(z)|, and |Im s(z) | in the class of functions s...
Strict upper bounds are determined for |s(z)|, |Re s(z)|, and |Im s(z) | in the class of functions s...
Strict upper bounds are determined for |s(z)|, |Re s(z)|, and |Im s(z) | in the class of functions s...
AbstractIn this paper, we study some radii problems for certain classes of analytic functions. These...
AbstractA function ƒ(z) = z + · · · is said to be in D if Re ƒ′(z) ≥ |zƒ′′ (z)|, |z| < 1. Using extr...
AbstractA function ƒ(z) = z + · · · is said to be in D if Re ƒ′(z) ≥ |zƒ′′ (z)|, |z| < 1. Using extr...
Let P[A,B], −1≤B<A≤1, be the class of functions p such that p(z) is subordinate to 1+Az1+Bz. Let P(α...
We look at functions, which are analytic in the open unit disc ( ) n n n zazzf ∑+= =2 {}1: <=Δ zz...
AbstractWe consider the classes of analytic functions introduced recently by K.I. Noor which are def...
Let S*(α) denote the class of functions analytic inzα,0≦αα,0≦α<1, forz<1. The functions in S*(a,α) a...
AbstractLet C(β), S∗(β), and K(β, λ) be the classes of univalent functions defined in E = {z: ¦z¦< 1...
We consider functions f analytic in the unit disc and assume the power series representation of the ...
AbstractLet φ(z) be an analytic function with positive real part on Δ={z;|z|<1} with φ(0)=1, φ′(0)>0...
In [2], MacGregor found the radius of convexity of the functions f(z)=z+a2z2+a3z3+…, analytic and un...
In [2], MacGregor found the radius of convexity of the functions f(z)=z+a2z2+a3z3+…, analytic and un...
Strict upper bounds are determined for |s(z)|, |Re s(z)|, and |Im s(z) | in the class of functions s...
Strict upper bounds are determined for |s(z)|, |Re s(z)|, and |Im s(z) | in the class of functions s...
Strict upper bounds are determined for |s(z)|, |Re s(z)|, and |Im s(z) | in the class of functions s...
AbstractIn this paper, we study some radii problems for certain classes of analytic functions. These...
AbstractA function ƒ(z) = z + · · · is said to be in D if Re ƒ′(z) ≥ |zƒ′′ (z)|, |z| < 1. Using extr...
AbstractA function ƒ(z) = z + · · · is said to be in D if Re ƒ′(z) ≥ |zƒ′′ (z)|, |z| < 1. Using extr...
Let P[A,B], −1≤B<A≤1, be the class of functions p such that p(z) is subordinate to 1+Az1+Bz. Let P(α...
We look at functions, which are analytic in the open unit disc ( ) n n n zazzf ∑+= =2 {}1: <=Δ zz...
AbstractWe consider the classes of analytic functions introduced recently by K.I. Noor which are def...
Let S*(α) denote the class of functions analytic inzα,0≦αα,0≦α<1, forz<1. The functions in S*(a,α) a...
AbstractLet C(β), S∗(β), and K(β, λ) be the classes of univalent functions defined in E = {z: ¦z¦< 1...
We consider functions f analytic in the unit disc and assume the power series representation of the ...
AbstractLet φ(z) be an analytic function with positive real part on Δ={z;|z|<1} with φ(0)=1, φ′(0)>0...
In [2], MacGregor found the radius of convexity of the functions f(z)=z+a2z2+a3z3+…, analytic and un...
In [2], MacGregor found the radius of convexity of the functions f(z)=z+a2z2+a3z3+…, analytic and un...