In this paper, the author make use of the newly introduced concept of analytic functions by Kanas and Ronning [7] and apply Aouf et al derivative operator with the technique of Hayami, Owa and Srivastava [17] to define a more larger and generalized class of Bazilevic functions. Characterization and coefficient bounds of this new class of Bazilevic functions are considered. 2000 Mathematics Subj...

In this paper, we define and investigate a new class of bi-Bazilevic functions related to shell-like curves connected with Fibonacci numbers.  Furthermore, we find estimates of first two coefficients of functions belonging to this class. Also, we give the Fekete-Szegoinequality for this function class.

In the current work, we use (M,N)-Lucas Polynomials to introduce a new family of holomorphic and bi-univalent functions which involve linear combination between Bazilevic ?-pseudo-starlike function defined in unit disk D establish upper bounds for second third coefficients belongs this family. Also, discuss Fekete-Szeg? problem

The aim of this paper is to define and study a class of analytic functions related to Bazilevic type functions in the open unit disc.This class is defined by using a convolution operator and the concept of bounded radius rotation of order ρ . A necessary condition, inclusion result, arc length and some other interesting properties of this class of functions are investigated.

This paper establishes the upper bounds for second and third coefficients of holomorphic bi-univalent functions in a family which involves Bazilevic μ-pseudo-starlike under new operator, joining neutrosophic Poisson distribution with modified Caputo’s derivative operator. We also discuss Fekete–Szego’s function problem this family. Examples are given to support our case distribution. The fields...

We introduce a subclass Mp(λ, μ,A,B) of p-valent analytic functions and derive certain properties of functions belonging to this class by using the techniques of Briot-Bouquet differential subordination. Further, the integral preserving properties of Bazilevic functions in a sector are also considered.