In this paper we introduce some new subclasses of the class σ of bi-univalent functions and obtain bounds for the initial coefficients of the Taylor series expansion of functions from the considered classes.

The purpose of the present paper is to extend the univalent condition of some integral operators. Relevant connections of the results presented here with various known results are briefly indicated. Further, we improve some recent results of ([4,8,9]).

In this paper, we define a new subclass Ao(A, B) of univalent functions and investigate several interesting characterization theorems involving a general class S" [A, B] of starlike functions

We provide a partial solution to the problem of defining constructive version Voevodsky's simplicial model Univalent Foundations. For this, we prove counterparts necessary results homotopy theory, building on Kan-Quillen structure established by second-named author. In particular, show that dependent products along fibrations with cofibrant domains preserve fibrations, establish weak equivalenc...

Coefficient Estimates for a General Subclass of m-fold Symmetric Bi-univalent Functions by Using Faber Polynomials