Abstract
We introduce and investigate a new subclass M m 1(θ, λ, η) of meromorphic spirallike functions. Such results as integral representations, convolution properties, and coefficient estimates are proved. The results presented here would provide extensions of those given in earlier works. Several other results are also obtained.
Highlights
Let M denote the class of functions f of the form f (z) = 1 z + ∞ ∑anzn, n=1 (1)which are analytic in the punctured open unit disk: U∗ := {z : z ∈ C, 0 < |z| < 1} =: U \ {0} . (2)Let f, g ∈ M, where f is given by (1) and g is defined by g (z) ∑bnzn
We introduce and investigate a new subclass M1m(θ, λ, η) of meromorphic spirallike functions
Which are analytic in the punctured open unit disk: U∗ := {z : z ∈ C, 0 < |z| < 1} =: U \ {0}
Summary
Let M denote the class of functions f of the form f (z) Let P denote the class of functions p given by Introduced and studied the subclass M(η) of M consisting of functions f satisfying Let A be the class of functions of the form
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