F. B. Khabibullin
Abstract
Let $$ \mathbb{D} $$ be the unit disk in the complex plane ℂ and let H be a certain weight class of functions holomorphic in $$ \mathbb{D} $$ . We establish conditions under which a given sequence of points A = »k ⊂ $$ \mathbb{D} $$ is the sequence of zeroes of a holomorphic function from H.
A significance statement is not available in the OpenAlex record.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
Let $$ \mathbb{D} $$ be the unit disk in the complex plane ℂ and let H be a certain weight class of functions holomorphic in $$ \mathbb{D} $$ . We establish conditions under which a given sequence of points A = »k ⊂ $$ \mathbb{D} $$ is the sequence of zeroes of a holomorphic function from H.
Key concepts: Holomorphic function, Unit disk, Mathematics, Sequence (biology), Complex plane, Identity theorem, Class (philosophy), Pure mathematics