Analytic Representation of Functions and a New Type of Quasi-analyticity

Fekete-Szeg"o problems for analytic functions in the space of logistic sigmoid functions based on quasi-subordination

In this paper, we define new subclasses ${S}^{*}_{q}(alpha,Phi),$ ${M}_{q}(alpha,Phi)$ and ${L}_{q}(alpha,Phi)$ of analytic functions in the space of logistic sigmoid functions based on quasi--subordination and determine the initial coefficient estimates $|a_2|$ and $|a_3|$ and also determine the relevant connection to the classical Fekete--Szeg"o inequalities. Further, we discuss the improved ...

Some Properties of Certain Subclasses of Close-to-Convex and Quasi-convex Functions with Respect to 2k-Symmetric Conjugate Points

Strong differential subordination and superordination of analytic functions associated with Komatu operator

Strong dierential subordination and superordination properties are determined for some familiesanalytic functions in the open unit disk which are associated with the Komatu operator by investigatingappropriate classes of admissible functions. New strong dierential sandwich-type results arealso obtained.

Convergent expansions for Random Cluster Model with q > 0 on infinite graphs

In this paper we extend our previous results on the connectivity functions and pressure of the Random Cluster Model in the highly subcritical phase and in the highly supercritical phase, originally proved only on the cubic lattice Z, to a much wider class of infinite graphs. In particular, concerning the subcritical regime, we show that the connectivity functions are analytic and decay exponent...

A New Definition of Hypercomplex Analyticity

Complex analyticity is generalized to hypercomplex functions, quaternion or octonion, in such a manner that it includes the standard complex definition and does not reduce analytic functions to a trivial class. A brief comparison with other definitions is presented. 1991 Mathematics Subject Classifications: 11R52, 30G35, 46S20.