Analytic functions and function spaces are fundamental concepts in complex analysis and functional analysis. Analytic functions are those that are locally represented by power series, and they play a ...

Random analytic functions are a fundamental object of study in modern complex analysis and probability theory. These functions, often defined through power series with random coefficients, exhibit ...

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 ...

For a fixed nonnegative integer m, an analytic map φ and an analytic function ψ the generalized integration operator I φ , ψ m is defined by I φ , ψ m f z = ∫ 0 z f m φ ζ ψ ζ d ζ for X-valued analytic ...