Abstract. The Bloch-Landau Theorem is one of the basic results in the geometric theory of holomorphic functions. It establishes that the image of the open unit disc D under a holomorphic function f (such that f (0) = 0 and f ′ (0) = 1) always contains an open disc with radius larger than a universal constant. In this paper we prove a Bloch-Landau type Theorem for slice regular functions over the skew field H of quaternions. This result is not at all a direct extension of the complex one, but heavily resents of the peculiarities of the quaternionic setting
Abstract. Landau gave a lower estimate for the radius of a schlicht disk cen-tered at the origin and...
The classical theorem of Picard states that a non-constant holomorphic function $f:mathbb{C} omat...
In one complex variable, it is well known that if we consider the family of all holomorphic function...
none3noThe Bloch-Landau Theorem is one of the basic results in the geometric theory of holomorphic f...
Along with the development of the theory of slice regular functions over the real algebra of quatern...
The theory of slice regular functions of a quaternionic variable extends the notion of holomorphic f...
In this article we investigate harmonicity, Laplacians, mean value theorems and related topics in th...
In this paper, we prove some splitting results for holomorphic functions of a complex variable and f...
Abstract. In this paper we prove a new Representation Formula for slice regular functions, which sho...
AbstractIn this paper we prove a new Representation Formula for slice regular functions, which shows...
The theory of slice regular functions over the quaternions, introduced by Gentili and Struppa in 200...
In this note we prove the Bieberbach conjecture for some classes of quaternionic functions, includi...
In this thesis I've explored the theory of quaternionic slice regular functions. More precisely I've...
The celebrated Schwarz-Pick lemma for the complex unit disk is the basis for the study of hyperbolic...
In this paper, we study Hankel operators in the quaternionic setting. In particular, we prove that t...
Abstract. Landau gave a lower estimate for the radius of a schlicht disk cen-tered at the origin and...
The classical theorem of Picard states that a non-constant holomorphic function $f:mathbb{C} omat...
In one complex variable, it is well known that if we consider the family of all holomorphic function...
none3noThe Bloch-Landau Theorem is one of the basic results in the geometric theory of holomorphic f...
Along with the development of the theory of slice regular functions over the real algebra of quatern...
The theory of slice regular functions of a quaternionic variable extends the notion of holomorphic f...
In this article we investigate harmonicity, Laplacians, mean value theorems and related topics in th...
In this paper, we prove some splitting results for holomorphic functions of a complex variable and f...
Abstract. In this paper we prove a new Representation Formula for slice regular functions, which sho...
AbstractIn this paper we prove a new Representation Formula for slice regular functions, which shows...
The theory of slice regular functions over the quaternions, introduced by Gentili and Struppa in 200...
In this note we prove the Bieberbach conjecture for some classes of quaternionic functions, includi...
In this thesis I've explored the theory of quaternionic slice regular functions. More precisely I've...
The celebrated Schwarz-Pick lemma for the complex unit disk is the basis for the study of hyperbolic...
In this paper, we study Hankel operators in the quaternionic setting. In particular, we prove that t...
Abstract. Landau gave a lower estimate for the radius of a schlicht disk cen-tered at the origin and...
The classical theorem of Picard states that a non-constant holomorphic function $f:mathbb{C} omat...
In one complex variable, it is well known that if we consider the family of all holomorphic function...