On a class of meromorphic starlike functions with positive coeffients

On Certain Class of Meromorphic Functions with Positive Coefficients

In the present investigation we define a new class of meromorphic functions on the punctured unit disk Δ∗ := {z ∈ C : 0 < |z| < 1} by making use of the generalized Dziok–Srivastava operator Hl m [α1]. Coefficient inequalities, growth and distortion inequalities, as well as closure results are obtained. We also establish some results concerning the partial sums of meromorphic functions and neigh...

On Meromorphic Harmonic Starlike Functions with Missing Coefficients

ON A CLASS OF MEROMORPHIC p-VALENT STARLIKE FUNCTIONS INVOLVING CERTAIN LINEAR OPERATORS

Let ∑ p be the class of functions f(z) which are analytic in the punctured disk E∗ = {z ∈ C : 0 < |z| < 1}. Applying the linear operator Dn+p defined by using the convolutions, the subclass n+p(α) of ∑ p is considered. The object of the present paper is to prove that n+p(α) ⊂ n+p−1(α). Since 0(α) is the class of meromorphic p-valent starlike functions of order α, all functions in n+p−1(α) are m...

On A Class Of Multivalent Starlike Functions With A Bounded Positive Real Part

By introducing a new subcalss of p-valent functions with respect to (j, k)-symmetric points, we have obtained the integral representations and conditions for starlikeness by using differential subordination. Some already known results have been, incidentally, shown to be particular cases of the main results of the paper.

Meromorphic functions with positive coefficients

for some α (0≤α< 1). We say that f(z) is in the class ∑C(α) of such functions. The class ∑∗(α) and various other subclasses of ∑ have been studied rather extensively by Nehari and Netanyahu [9], Clunie [4], Pommerenke [11, 12], Miller [7], Royster [13], and others (cf., e.g., Bajpai [2], Goel and Sohi [6], Mogra et al. [8], Uralegaddi and Ganigi [15], Cho et al. [3], Aouf [1], and Uralegaddi an...