The study of holomorphic semigroups and composition operators occupies a pivotal role in modern analysis, bridging complex function theory and operator theory. Holomorphic semigroups, formed by ...

Wei Chen, Jian Chen, Nguyen Van Thin, Normal family of holomorphic mappings and a generalization of Lappan’s five-valued theorem to holomorphic mapping in several variables, Filomat, Vol. 37, No. 26 ...

Schwarz Lemma: A classical result constraining holomorphic functions mapping the unit disc into itself, providing bounds on their absolute values and derivatives.

Object Details Author Reynolds, Don R Taylor, J. W (John W.) Contents 1. A Contemporary View of the Holomorph: Nucleic Acid Sequence and Computer Databases are Changing Fungal Classification / J.W.

In this paper we discuss holomorphic mappings f of the unit disc 𝕌 and corresponding index defined as I f ( z )= zf' ( z ) f ( z ) . We are interested in finding bounds on the growth of functions f ...