1,720,973 research outputs found
Rigidity at the Boundary for Holomorphic Self-Maps of the Unit Disc
No full textWe prove a rigidity theorem which generalizes a result due to Burns and Krantz (see[3]) for holomorphic self-maps in the unit disk of the complex plane. Essentially, we found that some conditions on the (boundary) Schwarzian derivative 0f a holomorphic self-map at specific points of the boundary of the disk may be sufficient to conclude that a map is a completely determined rational map
On Fixed Points of Regular Mobius Transformations over Quaternions
No full textIn this paper we give a complete description of the fixed-point set
for regular Möbius transformations of a quaternionic variable; furthermore we
apply these results for the proof of a rigidity property for commuting hyperbolic
regular Möbius transformations
Resultants of slice regular polynomials in two quaternionic variables
No full textWe introduce a non-commutative resultant, for slice regular polynomials in two quaternionic variables, defined in terms of a suitable Dieudonné determinant. We use this tool to investigate the existence of common zeros and common factors of slice regular polynomials and we give a kinematic interpretation of our results
Identity principles for commuting holomorphic self-maps of the unit disc
No full textAbstractLet f,g be two commuting holomorphic self-maps of the unit disc. If f and g agree at the common Wolff point up to a certain order of derivatives (no more than 3 if the Wolff point is on the unit circle), then f≡g
Going Beyond Counting First Authors in Author Co-citation Analysis
Full text linkThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
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