Multivalent functions of order $p$

Subordination for Higher-Order Derivatives of Multivalent Functions

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 ...

Integral Means of Multivalent Functions

For analytic functions f(z) and g(z) which satisfy the subordination f(z) ≺ g(z), J. E. Littlewood (Proc. London Math. Soc., 23 (1925), 481–519) has shown some interesting results for integral means of f(z) and g(z). The object of the present paper is to derive some applications of integral means by J.E. Littlewood and show interesting examples for our theorems. We also generalize the results o...