The starlikeness and convexity of multivalent functions involving certain inequalities

Close-to-convexity, starlikeness, and convexity of certain analytic functions

‘The present investigation was supported, in part, by the Japanese Ministry of Education, Science and Culture tinder Grant-in-Aid for General Scientific Research (No. 046204) and, in part, by the Natural Sciences and Engineering Research Council of Canada under Grant 0GP0007353. A preliminary report on this paper was presented at the spring meeting of the Mathematical Society of Japan held at W...

On starlikeness and close-to-convexity of certain analytic functions

Inequalities Defining Certain Subclasses of Analytic and Multivalent Functions Involving Fractional Calculus Operators

Making use of a certain fractional calculus operator, we introduce two new subclasses Mδ(p;λ, μ, η) and Tδ(p;λ, μ, η) of analytic and p−valent functions in the open unit disk. The results investigated exhibit the sufficiency conditions for a function to belong to each of these classes. Several geometric properties of such multivalent functions follow, and these consequences are also mentioned.

Certain Properties of Multivalent Functions Involving the Dziok-srivastava Operator

The object of the present paper is to investigate some subordination properties of multivalent analytic functions which are defined here by using the DziokSrivastava operator. Furthermore, relevant connections of the results presented in this paper with those obtained in earlier works are also discussed.

Argument Estimates of Certain Multivalent Functions Involving a Linear Operator

The purpose of this paper is to derive some argument properties of certain multivalent functions in the open unit disk involving a linear operator. We also investigate their integral preserving property in a sector.