Radii of starlikeness and convexity of generalized Struve functions

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...

Starlikeness and convexity of a class of analytic functions

Let be the class of analytic functions in the unit disk that are normalized with f (0)= f ′(0)− 1 = 0 and let −1 ≤ B < A ≤ 1. In this paper we study the class Gλ,α = { f ∈ : |(1− α + αz f (z)/ f ′(z))/z f ′(z)/ f (z)− (1− α)| < λ, z ∈ }, 0 ≤ α ≤ 1, and give sharp sufficient conditions that embed it into the classes S∗[A,B] = { f ∈ : z f ′(z)/ f (z) ≺ (1 +Az)/(1 + Bz)} and K(δ) = { f ∈ : 1 + z f...

On Radii of Starlikeness and Close-to-convexity of a Subclass of Analytic Functions with Negative Coefficients

Adriana Cătaş Faculty of Sciences, University of Oradea, Romania [email protected] Abstract By making use of a multiplier transformation, a subclass of p-valent functions in the open unit disc is introduced. The main results of the present paper provide various interesting properties of functions belonging to the new subclass. Some of these properties include, for example, several coefficient in...

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

Some integrals involving generalized k-Struve functions

The close form of some integrals involving recently developed generalized k-Struve functions is obtained. The outcome of these integrations is expressed in terms of generalized Wright functions. Several special cases are deduced which lead to some known results.