(α, β, λ, δ, m, Ω)p−Neighborhood for some families of analytic and multivalent functions
Abstract In the present investigation, we give some interesting results related with neighborhoods of p−valent functions. Relevant connections with some other recent works are also pointed out.
Coefficient inequalities and inclusion relations for some families of analytic and multivalent functions
Abstract By means of the derivative operator of order m ( m ∈ N 0 ), we introduce and investigate two new subclasses of p -valently analytic functions of complex order. The various results obtained here for each of these two function classes include coefficient inequalities and inclusion relationships involving the ( n , δ ) -neighborhood of p -valently analytic functions. Relevant connections with some other recent investigations are also pointed out.
NEIGHBORHOODS OF CERTAIN CLASSES OF ANALYTIC FUNCTIONS OF COMPLEX ORDER
By making use of the familiar concept of neighborhoods of analytic functions, the authors prove several inclusion relations associated with the (n, δ)-neighborhoods of certain subclasses of analytic functions of complex order, which are introduced here by means of the Ruscheweyh derivatives. Special cases of some of these inclusion relations are shown to yield known results.