On some geometric properties of slice regular functions of a quaternion variable

DOI10.1080/17476933.2015.1024670zbMath1325.30046arXiv1410.2623OpenAlexW2052596077MaRDI QIDQ3195538

Irene Sabadini, Sorin Gheorghe Gal, José Óscar González-Cervantes

Publication date: 20 October 2015

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.2623

zbMATH Keywords

subordinationconvexitystarlikenessspirallikenessslice regular functions in the unit ball

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Related Items (10)

On Brolin's theorem over the quaternions ⋮ Starlikeness for functions of a hypercomplex variable ⋮ Univalence results for slice regular functions of a quaternion variable ⋮ Slice spirallike functions over quaternions ⋮ Adaptive Fourier decomposition of slice regular functions ⋮ \(\ast\)-logarithm for slice regular functions ⋮ Slice starlike functions over quaternions ⋮ Landau’s theorem for slice regular functions on the quaternionic unit ball ⋮ Slice Regular Functions on Regular Quadratic Cones of Real Alternative Algebras ⋮ Unnamed Item

Cites Work

• Landau-Toeplitz theorems for slice regular functions over quaternions
• Pontryagin-de Branges-Rovnyak spaces of slice hyperholomorphic functions
• An extension of Herglotz's theorem to the quaternions
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• Slice regular functions on real alternative algebras
• Die Funktionentheorie der Differentialgleichungen \(\Delta u=0\) und \(\Delta\Delta u=0\) mit vier reellen Variablen
• Carathéodory theorems for slice regular functions
• A new theory of regular functions of a quaternionic variable
• The C-property for slice regular functions and applications to the Bergman space
• Regular Functions of a Quaternionic Variable
• On slice biregular functions and isomorphisms of Bergman spaces
• Univalence results for slice regular functions of a quaternion variable
• The Bohr Theorem for slice regular functions
• Some remarks on the 𝒮-spectrum
• A Bloch-Landau Theorem for Slice Regular Functions
• Regular Composition for Slice-Regular Functions of Quaternionic Variable
• The Schwarz-Pick lemma for slice regular functions
• Self-mappings of the quaternionic unit ball: multiplier properties, Schwarz-Pick inequality, and Nevanlinna--Pick interpolation problem
• Starlikeness of polynomials and finite Blaschke products
• On the theory of univalent functions

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