Abstract
The present paper is to investigate some inclusion relations between the linear derivative operator and differential subordination with other interesting properties for Keywords: Meromorphic functions , differential subordination, the linear derivative operator. DOI : 10.7176/MTM/9-2-03
Highlights
Let με be the class of analytic and ε -valent meromorphic functions defined on ©∗ = {z ∈ C: 0 < |z| < 1}
For function ʄ ∈ με given by ( 1 ) and q ∈ με defined by q(z) = z−ε + ∑ bS−εzS−ε, (ε ∈ N = {1,2, ... })
Definition (1): If satisfies the subordination condition the function ʄ ∈ με is said to be in the class με(t, S: h):
Summary
Let με be the class of analytic and ε -valent meromorphic functions defined on ©∗ = {z ∈ C: 0 < |z| < 1}. For function ʄ ∈ με given by ( 1 ) and q ∈ με defined by q(z) = z−ε + ∑ bS−εzS−ε , D∗t,εʄ(z) = z−ε + ∑S=1(t+SS)aS−εzS−ε , t > −ε. The class of functions h with h(0) = 1, is, which are convex univalent and analytic in
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