5 papers
Theory of Polyanalytic functions
Abtin Daghighi
Brief Description: The book provides a unique highly self-contained text introducing the reader to the classical and modern theory of polyanalytic functions and their generalizatio…
On Radó's theorem for polyanalytic functions
Abtin Daghighi
We prove versions of Radó's theorem for polyanalytic functions in one variable and also on simply connected -convex domains in . Let …
An algebra of polyanalytic functions
Abtin Daghighi, Paul M. Gauthier
The most important uniform algebra is the family of continuous functions on a compact subset of the complex plane which are analytic on the interior int For c…
Level sets of certain classes of -analytic functions
Abtin Daghighi, Frank Wikström
For an open set , denote by the family of -analytic functions that obey a boundary maximum modulus principle. We prove that, on a bounde…
A note on a conjecture concerning boundary uniqueness
Abtin Daghighi, Steven G. Krantz
We consider the following conjecture (from Huang, et al): Let denote the upper half disc in and let (viewed as an interval in the real axis in $\m…