The following problem is studied: The theory of iteration developed by Fatou and Julia is concerned with rational and entire functions. What is the most general class of analytic functions to which ...

Analytic functions, also known as holomorphic functions, form the cornerstone of complex analysis, widely studied for their elegant properties and deep connections in both pure and applied ...

Taiwanese Journal of Mathematics, Vol. 16, No. 1 (February 2012), pp. 387-408 (22 pages) Abstract The purpose of the present paper is to introduce and investigate the function classes k-𝒮𝒫(α, β) and ...