In this paper, we have discussed the meromorphic p-valent functions that satisfy the differential subordinations z(Ip(r, λ)f(z)) (Ip(r, λ)f(z))(j) ≺ (1 + A−B a βz 1 +Bz )(p+ j), z ∈ ∆, where β is complex number and Ip(r, λ) is salagean Operator. Also we study coefficient inequalities and hadamard product (convolution) and found radius of starlikeness and convexity. We investigate some interesti...

The aim of the present paper is to introduce and investigate a new subclass of Bazilevi'{c} functions in the punctured unit disk $mathcal{U}^*$ which have been described through using of the well-known fractional $q$-calculus operators, Hadamard product and a linear operator. In addition, we obtain some sufficient conditions for the func...

Let J n+p−1 (α) (p ∈ N, n > −p, 0 α < p) denote the class of functions of the form f (z) = 1 z p + a 0 z p−1 + a 1 z p−2 + ··· which are regular and p-valent in the punctured unit disc U * = {z ∈ C : 0 < |z| < 1} and satisfy the condition Re (D n+p f (z)) (D n+p−1 f (z)) − (p + 1) < − p (n + p − 1) + α n + p , where D n+p−1 f (z) = 1 z p (1 − z) n+p * f (z). It is proved that J n+p (α) ⊂ J n+p−...

in this paper, we consider a new class of analytic functions in the unit disk using polynomials of order alpha. we give some sufficient conditions for functions belonging to this class.