The logarithmic derivative of multivalent functions.

extensions of some polynomial inequalities to the polar derivative

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Properties of multivalent functions associated with certain integral operator

Let A(p) denote the class of functions which are analytic in the open unit disk U. By making use of certain integral operator,we obtain some interesting properties of multivalent analytic functions.

Neighborhoods of Multivalent Functions

In this note, we introduce the new operator Dp(λ, q, η). Using this operator, we define the new subclasses of analytic and multivalent functions and for functions belonging to these classes, certain (n, δ)neighborhood properties are obtained. Mathematics Subject Classification: 30C45

On Certain Multivalent Functions

Let ᏿ * (p,α) be the class of functions f (z) which are analytic and p-valently starlike of order α in the open unit disk E. The object of the present paper is to derive an interesting condition for f (z) to be in the class ᏿ * (p,α). This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution , and reproduction in any ...

On Differential Subordinations of Multivalent Functions Involving a Certain Fractional Derivative Operator