The boundary integral of ${\rm log}\vert \varphi \vert $ for generalized analytic functions

New Classes of Analytic Functions Involving Generalized Noor Integral Operator

On the Integral Representations of Generalized Relative Type and Generalized Relative Weak Type of Entire Functions

In this paper we wish to establish the integral representations of generalized relative type and generalized relative weak type as introduced by Datta et al [9]. We also investigate their equivalence relation under some certain conditions.

Certain Subordination Results For A Class Of Analytic Functions Defined By The Generalized Integral Operator

We obtain several interesting subordination results for a class of analytic functions defined by using a generalized integral operator. Keywords—Analytic functions, Hadamard product, Subordinating factor sequence

Application of the Norm Estimates for Univalence of Analytic Functions

By using norm estimates of the pre-Schwarzian derivatives for certain family of analytic functions, we shall give simple sufficient conditions for univalence of analytic functions.

Rigidity of Analytic Functions at the Boundary

then f(z) = z. We will refer to this theorem as Burns-Krantz theorem. The Burns-Krantz theorem was generalized to finite Blaschke products by D. Chelst [3]. The proof of both Burns-Krantz theorem and the that of the theorem of Chelst uses Hopf lemma. In a recent paper, [1], L. Baracco, D.Zaitsev and G. Zampieri gave a new and elementary proof for the Burns-Krantz theorem ([1, proposition 3.1.])...