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 and Somanatha [16, 17]; see also Duren [5, pages 29 and 137], and Srivastava and Owa [14, pages 86 and 429]). Owa and Pascu [10] obtained some coefficient properties for the class ∑∗(α,k)which satisfies ∣∣∣zf ′(z) f(z) +k ∣∣∣< ∣∣∣zf ′(z) f(z) +(2α−k) ∣∣∣ (1.4)