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 ...

Analytic functions, defined by the property of being locally expressible as convergent power series, form a cornerstone of complex analysis. Differential operators, which act on these functions by ...

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 a previous paper (Lyness and Moler [1]), several closely related formulas of use for obtaining a derivative of an analytic function numerically are derived. Each of these formulas consists of a ...