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

some properties of certain subclasses of close-to-convex and quasi-convex functions with respect to 2k-symmetric conjugate points

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some properties of certain subclasses of close-to-convex and quasi-convex functions with respect to 2k-symmetric conjugate points

Some Subclasses of Analytic Functions with Respect to 2k-Symmetric Conjugate Points

In the present paper, we introduce two new subclasses P sc (λ, α) and Q sc (λ, α) of analytic functions with respect to 2k-symmetric conjugate points. Such results as integral representations, convolution conditions and coefficient inequalities for these classes are provided. 2000 Mathematics Subject Classification. Primary 30C45.

Some properties and results for certain subclasses of starlike and convex functions

In the present paper, we introduce and investigate some properties of two subclasses $ Lambda_{n}( lambda , beta ) $ and $ Lambda_{n}^{+}( lambda , beta ) $;  meromorphic and starlike  functions of order $ beta $. In particular, several inclusion relations, coefficient estimates, distortion theorems and covering theorems are proven here for each of these function classes.

CERTAIN SUBCLASSES OF p-VALENTLY CLOSE-TO-CONVEX FUNCTIONS

The object of the present paper is to drive some properties of certain class Kn,p(A,B) of multivalent analytic functions in the open unit disk E.

Starlike and Convex Functions with Respect to Conjugate Points

An analytic functions f(z) defined on 4 = {z : |z| < 1} and normalized by f(0) = 0, f ′(0) = 1 is starlike with respect to conjugate points