Analytic functions constitute a cornerstone of complex analysis, being defined on regions where they can be expressed as convergent power series. Of particular interest are starlike functions ...

The field of functional analysis of symmetric analytic functions explores the interplay between the structure of analytic function algebras and the inherent symmetries dictated by invariance under ...

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 ...

In time-frequency analysis Hilbert transformation is used to define analytic signals based on which meaningful instantaneous amplitude and instantaneous frequency are defined.