A new class of analytic functions defined by convolution with varying argument

Abstract

Abstract. In this paper, we introduce a new class of analytic functions defined by convolution with varying argument and provide convolution properties and integral means inequalities for functions belonging to this new class. Some of our results generalize previously known results.

Some further properties for analytic functions with varying argument defined by Hadamard products

“…For α ≥ 0, −1 ≤ B < A ≤ 1 and for all z ∈ U, Li et al [9] defined the subclass U (φ, ψ, α, A, B) of A which satisfies the following condition:…”