Given the hypergeometric function F (a, b; c; z) = ∞ P n=0 (a)n(b)n (c)n(1)n zn, we place conditions on a, b and c to guarante that zpF (a, b; c; z) will be in various subclasses of p-valent starlike… Expand

AbstractLetF(b, M) (b ≠ 0 complex,M>1/2) denote the class of functionsf(z) =z + Σn=2∞anzn analytic in U={z:|z|<1} which satisfy for fixedM, f(z)/z ≠ 0 inU and
$$\left| {\frac{{b - 1 + \left[… Expand

In this paper we consider the class (p; A, B) consisting of regular and p-valent functions in the punctured disc D = {z : 0 (p; A, B). Also we have shown that the class (p; A, B) is closed under… Expand

In this paper, we introduce the subclass Sj (n, p, q, α) of analytic and p-valent functions with negative coefficients defined by new operator Dnp. In this paper we give some properties of functions… Expand

We introduce new classes of q -starlike and q -convex functions of complex order involving the q -derivative operator defined in the open unit disc. Furthermore, we find estimates on the coefficients… Expand

By making use of the principle of differential subordination, we investigate several inclusion relationships and other interesting properties of certain subclasses of meromorphically multivalent functions which are defi ned by certain linear operator involving the generalized hypergeometric function.Expand

The object of the present paper is to investigate coefficient estimates for functions belonging to the subclasses R p(α,β) and C p(α,β) of p-valent γ -prestarlike functions of order α and type β with… Expand