Add to ORKGThe purpose of this note is to try to find necessity for famous theorems on univalency and convexity by using the Poisson formula. In Section 1, such theorems are stated. Section 2 is devoted to studying the radius of univalence for several theorems, and the radius of convexity for the theorems is investigated in Section 3. Several results are improved in Section 4. 1
AbstractThis paper deals with the geometrically motivated properties uniform starlikeness, uniform c...
AbstractThis paper deals with the geometrically motivated properties uniform starlikeness, uniform c...
© 2018, Pleiades Publishing, Ltd. Some effects in the α-convex theory of the univalent functions are...
In this paper we give an example of two convex functions in | ζ| > 1 whose arithmetic mean is noncon...
In this paper we give an example of two convex functions in | ζ| > 1 whose arithmetic mean is noncon...
In this paper we give an example of two convex functions in | ζ| > 1 whose arithmetic mean is noncon...
We consider functions f analytic in the unit disc and assume the power series representation of the ...
In this paper we give an example of two convex functions in | ζ| > 1 whose arithmetic mean is noncon...
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...
The radius of univalence is found for the convolution f∗g of functions f∈S (normalized univalent fun...
ABSTRACT. The radius of univalence is found for the convolution f, # of functions f E S (normalized ...
ABSTRACT. The radius of univalence is found for the convolution f, # of functions f E S (normalized ...
Let S*(α) denote the class of functions analytic inzα,0≦αα,0≦α<1, forz<1. The functions in S*(a,α) a...
In [2], MacGregor found the radius of convexity of the functions f(z)=z+a2z2+a3z3+…, analytic and un...
AbstractThis paper deals with the geometrically motivated properties uniform starlikeness, uniform c...
AbstractThis paper deals with the geometrically motivated properties uniform starlikeness, uniform c...
© 2018, Pleiades Publishing, Ltd. Some effects in the α-convex theory of the univalent functions are...
In this paper we give an example of two convex functions in | ζ| > 1 whose arithmetic mean is noncon...
In this paper we give an example of two convex functions in | ζ| > 1 whose arithmetic mean is noncon...
In this paper we give an example of two convex functions in | ζ| > 1 whose arithmetic mean is noncon...
We consider functions f analytic in the unit disc and assume the power series representation of the ...
In this paper we give an example of two convex functions in | ζ| > 1 whose arithmetic mean is noncon...
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...
The radius of univalence is found for the convolution f∗g of functions f∈S (normalized univalent fun...
ABSTRACT. The radius of univalence is found for the convolution f, # of functions f E S (normalized ...
ABSTRACT. The radius of univalence is found for the convolution f, # of functions f E S (normalized ...
Let S*(α) denote the class of functions analytic inzα,0≦αα,0≦α<1, forz<1. The functions in S*(a,α) a...
In [2], MacGregor found the radius of convexity of the functions f(z)=z+a2z2+a3z3+…, analytic and un...
AbstractThis paper deals with the geometrically motivated properties uniform starlikeness, uniform c...
AbstractThis paper deals with the geometrically motivated properties uniform starlikeness, uniform c...
© 2018, Pleiades Publishing, Ltd. Some effects in the α-convex theory of the univalent functions are...