On Certain Properties of Trigonometrically <i>ρ</i>-Convex Functions

PROPERTIES OF CERTAIN p-VALENTLY CONVEX FUNCTIONS

for some α (0 α< 1). We denote by p(α) the subclass of p consisting of functions which are p-valently convex of order α in U. In particular, we denote 1(0)= . A function f(z)∈ 1 is said to be uniformly convex inU if f(z) is in the class and has the property that the image arc f(γ) is convex for every circular arc γ contained in U with center at t ∈ U. We also denote by the subclass of 1 consist...

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

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 Convex Harmonic Functions

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

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