Add to ORKGIn this paper, a boundary version of the Schwarz lemma for classesM(p) is investigated. For the function f(z) = zp +ap+1zp+1 +cp+2zp+2 +::: dened in the unit disc D = fz : jzj < 1g such that f(z) 2M(p), we estimate a modulus of the angular derivative of f(z) function at the boundary point b with f′(b) = 0. The sharpness of these inequalities is also proved
Let Sλ(A,B,p,α)(|λ|<π2, −1≦A<B≦1 and 0≦α<p), denote the class of functions f(z)=zp+∑n=p+1∞anzn analy...
AbstractA new theory of regular functions over the skew field of Hamilton numbers (quaternions) and ...
For $-1\leq B<A\leq 1$, let $\mathcal{C}(A,B)$ denote the class of normalized Janowski convex functi...
We obtain an new boundary Schwarz inequality, for analytic functions mapping the unit disk to itself...
Abstract. We prove a generalization of the Schwarz lemma for meromorphic functions f mapping the uni...
In this paper we establish several invariant boundary versions of the (infinitesimal) Schwarz-Pick l...
In the present paper, by making use of the Beta function, we introduce a subclass A∗s (p, A, B, α) o...
Abstract. The well-known Schwarz–Pick lemma states that any analytic mapping φ of the unit disk U in...
AbstractLet D be a domain in the plane, p a point of D, and X a complex Banach space; let m(D, p, X)...
ABSTRACT. Let V(a,b,p)(k 2, b#o is any complex number, o a p and Ill < /2) ndenote the class of f...
We consider integral functionals of a simply connected domain which depend on the distance to the do...
Abstract Let f be an analytic function in the unit disc | z | < 1 $|z|<1$ on the complex plane C $\m...
ABSTRACT. Let Vk(l-b) k-> 2 and b 0 real, denotes the class of locally univalent n analytic funct...
Let Ω and Π be two hyperbolic simply connected domains in the extended complex plane C̄ = C ∪ {∞}. W...
Abstract. For p-valent functions of the form f(z) = zp − k=n+p akz k that sat-isfies the condition ...
Let Sλ(A,B,p,α)(|λ|<π2, −1≦A<B≦1 and 0≦α<p), denote the class of functions f(z)=zp+∑n=p+1∞anzn analy...
AbstractA new theory of regular functions over the skew field of Hamilton numbers (quaternions) and ...
For $-1\leq B<A\leq 1$, let $\mathcal{C}(A,B)$ denote the class of normalized Janowski convex functi...
We obtain an new boundary Schwarz inequality, for analytic functions mapping the unit disk to itself...
Abstract. We prove a generalization of the Schwarz lemma for meromorphic functions f mapping the uni...
In this paper we establish several invariant boundary versions of the (infinitesimal) Schwarz-Pick l...
In the present paper, by making use of the Beta function, we introduce a subclass A∗s (p, A, B, α) o...
Abstract. The well-known Schwarz–Pick lemma states that any analytic mapping φ of the unit disk U in...
AbstractLet D be a domain in the plane, p a point of D, and X a complex Banach space; let m(D, p, X)...
ABSTRACT. Let V(a,b,p)(k 2, b#o is any complex number, o a p and Ill < /2) ndenote the class of f...
We consider integral functionals of a simply connected domain which depend on the distance to the do...
Abstract Let f be an analytic function in the unit disc | z | < 1 $|z|<1$ on the complex plane C $\m...
ABSTRACT. Let Vk(l-b) k-> 2 and b 0 real, denotes the class of locally univalent n analytic funct...
Let Ω and Π be two hyperbolic simply connected domains in the extended complex plane C̄ = C ∪ {∞}. W...
Abstract. For p-valent functions of the form f(z) = zp − k=n+p akz k that sat-isfies the condition ...
Let Sλ(A,B,p,α)(|λ|<π2, −1≦A<B≦1 and 0≦α<p), denote the class of functions f(z)=zp+∑n=p+1∞anzn analy...
AbstractA new theory of regular functions over the skew field of Hamilton numbers (quaternions) and ...
For $-1\leq B<A\leq 1$, let $\mathcal{C}(A,B)$ denote the class of normalized Janowski convex functi...