The Schwarz lemma stands as a cornerstone result in complex analysis, constraining holomorphic self-mappings of the unit disc by bounding both their magnitude and derivative. Traditionally, it affirms ...

Complex analysis and minimal surfaces constitute deeply intertwined fields that have consistently enriched each other through mutual advances in theory and application. In this context, complex ...

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 and ...

The [Math Sorcerer] loves books. His latest acquisition is the famous Real and Complex Analysis, which is a very stout math book. How stout? Well, there are several chapters on holomorphic functions, ...

This paper is primarily a study of generalized notions of envelope of holomorphy and holomorphic convexity for special (algebraically restricted) subsets of Cn and in part for arbitrary subsets of Cn.