Certain Subclass of P-valent Meromorphic Functions Involving the Extended Multiplier Transformations
[1]
R. M. El-Ashwah, Department of Mathematics, Faculty of Science, Damietta University, New Damietta, Egypt.
Using the linear operator I_p^m (λ,l)(λ≥0,l>0,p∈N,m∈N_0=N∪{0}) for a function f(z)∈∑_p the class of P-valent meromorphic functions El-Ashwah [6] and the principle of subordination [11], we introduce the class M_(p,k)^m (λ,l;β;ϕ), which satisfies the following condition: 1/(β-p) [β+z(I_p^m (λ,l)f(z))'/(f_(p,k)^m (λ,l;z) )]<ϕ(z) (β>p;ϕ∈p;z∈U). Such results as inclusion relationships, integral representations, convolution properties and integral-preserving properties for these functions class are obtained.
Subordination, Analytic, Meromorphic, Multivalent, Multiplier Transformations
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