On certain meromorphic functions with positive coefficients
نویسندگان
چکیده
منابع مشابه
On a Certain Classes of Meromorphic Functions with Positive Coefficients
In this paper certain classes of meromorphic functions in punctured unit disk are defined. Some properties including coefficient inequalities, convolution and other interesting results are investigated.
متن کاملOn 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...
متن کاملMeromorphic 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...
متن کاملOn a Certain Subclass of Meromorphic Univalent Functions with Fixed Second Positive Coefficients
In the present paper, we consider the subclass of meromorphic univalent functions S∗ p [k, α, β, c] with fixed second positive coefficient. The object of the present paper is to show coefficient estimates, convex liner combinations, some distortion theorems, and redii of starlikeness and convexity for f(z) in the class S∗ p [k, α, β, c].
متن کاملMeromorphic Functions with Positive Coefficients Defined Using Convolution
For certain meromorphic function g and h, we study a class of functions f(z) = z−1 + ∑∞ n=1 fnz , (fn ≥ 0), defined in the punctured unit disk ∆∗, satisfying < ( (f ∗ g)(z) (f ∗ h)(z) ) > α (z ∈ ∆; 0 ≤ α < 1) . Coefficient inequalities, growth and distortion inequalities, as well as closure results are obtained. Properties of an integral operator and its inverse defined on the new class is also...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 1993
ISSN: 0161-1712,1687-0425
DOI: 10.1155/s0161171293000511