Add to ORKGLet f(z)=a_o+a_1z+… be holomorphic in the unit disk {z: |z|<1} and omit the values 0 and 1. It is proved in this paper that |a_1|≤2|a_0|{|log|a_0||+Γ~4(1/4)/4π~2-mRe(a_n~8 + 1)} where m>0.04 is a constant, ε=1 as |a_0|≤1 and ε=-1 as |a_0|>1. This result is a precise version of the well-known the...08897-90
Abstract. By modifying a domain first suggested by Ruth Good-man in 1935 and by exploiting the expli...
Abstract. If α is an irrational number, we let {pn/qn}n≥0, be the approx-imants given by its continu...
Let \(f\) be the analytic self-map of the open unit disk \(\mathbf{D}\) in complex plane with...
Let f(z) = a0 + a1z + ... be holomorphic in the unit disk {z: Absolute value of z <1} and omit th...
In one complex variable, it is well known that if we consider the family of all holomorphic function...
Abstract. The univalent Bloch-Landau constant U is the largest number such the image of the unit dis...
Abstract. Landau gave a lower estimate for the radius of a schlicht disk cen-tered at the origin and...
A variant of the classical Bloch's constant s studied: bounds are determined for the larger schlic...
We consider complex-valued solutions ue of the Ginzburg-Landau equation on a smooth bounded simply c...
Landau proved, for any fixed $x>1$, that $$\sum_{0<\gamma\leq T} x^\rho = -\frac{T}{2\pi} \Lambda...
AbstractLet A2(D) be the Bergman space over the open unit disk D in the complex plane. Korenblum con...
Let f be a holomorphic function in the unit disc having exactly one simple zero z0 and two 1-points ...
Let $\Omega\subset \mathbb{R}^2$ be a bounded domain with the same area as the unit disk $B_1$ and ...
© 2020, Springer-Verlag GmbH Germany, part of Springer Nature. In this article we estimate the sum o...
AbstractLet 0⩽α<∞, 0<p<∞, and p−α>−2. If f is holomorphic in the unit disc D and if ω is a radial we...
Abstract. By modifying a domain first suggested by Ruth Good-man in 1935 and by exploiting the expli...
Abstract. If α is an irrational number, we let {pn/qn}n≥0, be the approx-imants given by its continu...
Let \(f\) be the analytic self-map of the open unit disk \(\mathbf{D}\) in complex plane with...
Let f(z) = a0 + a1z + ... be holomorphic in the unit disk {z: Absolute value of z <1} and omit th...
In one complex variable, it is well known that if we consider the family of all holomorphic function...
Abstract. The univalent Bloch-Landau constant U is the largest number such the image of the unit dis...
Abstract. Landau gave a lower estimate for the radius of a schlicht disk cen-tered at the origin and...
A variant of the classical Bloch's constant s studied: bounds are determined for the larger schlic...
We consider complex-valued solutions ue of the Ginzburg-Landau equation on a smooth bounded simply c...
Landau proved, for any fixed $x>1$, that $$\sum_{0<\gamma\leq T} x^\rho = -\frac{T}{2\pi} \Lambda...
AbstractLet A2(D) be the Bergman space over the open unit disk D in the complex plane. Korenblum con...
Let f be a holomorphic function in the unit disc having exactly one simple zero z0 and two 1-points ...
Let $\Omega\subset \mathbb{R}^2$ be a bounded domain with the same area as the unit disk $B_1$ and ...
© 2020, Springer-Verlag GmbH Germany, part of Springer Nature. In this article we estimate the sum o...
AbstractLet 0⩽α<∞, 0<p<∞, and p−α>−2. If f is holomorphic in the unit disc D and if ω is a radial we...
Abstract. By modifying a domain first suggested by Ruth Good-man in 1935 and by exploiting the expli...
Abstract. If α is an irrational number, we let {pn/qn}n≥0, be the approx-imants given by its continu...
Let \(f\) be the analytic self-map of the open unit disk \(\mathbf{D}\) in complex plane with...