Subclass of analytic functions with negative coefficients related with Miller-Ross-type Poisson distribution series

Abstract

The purpose of the present paper is to find a necessary and sufficient condition for Miller-Ross-type Poisson distribution series to be in the class 𝒲δ(α, γ, β) of analytic functions with negative coefficients .Also, we investigate several inclusion properties of the classes 𝒮∗, 𝒦 and ℝτ(A, B) associated of the operator 𝕀ν,cm defined by this distribution. Further, we consider an integral operator related to Miller-Ross-type Poisson distribution series. Several corollaries and consequences of the main results are also considered.

Keywords

• analytic functions
• starlike functions
• convex functions
• hadamard product
• miller-ross-type poisson distribution series
• 30c45