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Inclusion properties of certain subclass of analytic functions defined by multiplier transformations

Mohamed AoufRabha El-Ashwah — 2009

Annales UMCS, Mathematica

Let A denote the class of analytic functions with normalization [...] in the open unit disk [...] Set [...] and define [...] in terms of the Hadamard product [...] In this paper, we introduce several new subclasses of analytic functions defined by means of the operator [...] [...] .Inclusion properties of these classes and the classes involving the generalized Libera integral operator are also considered.

Inclusion and neighborhood properties of certain subclasses of p -valent functions of complex order defined by convolution

Rabha El-AshwahMohamed AoufS. El-Deeb — 2011

Annales UMCS, Mathematica

In this paper we introduce and investigate three new subclasses of p-valent analytic functions by using the linear operator Dmλ,p(f * g)(z). The various results obtained here for each of these function classes include coefficient bounds, distortion inequalities and associated inclusion relations for (n, θ)-neighborhoods of subclasses of analytic and multivalent functions with negative coefficients, which are defined by means of a non-homogenous differential equation.

Some applications of subordination theorems associated with fractional q -calculus operator

Wafaa Y. KotaRabha Mohamed El-Ashwah — 2023

Mathematica Bohemica

Using the operator 𝔇 q , ϱ m ( λ , l ) , we introduce the subclasses 𝔜 q , ϱ * m ( l , λ , γ ) and 𝔎 q , ϱ * m ( l , λ , γ ) of normalized analytic functions. Among the results investigated for each of these function classes, we derive some subordination results involving the Hadamard product of the associated functions. The interesting consequences of some of these subordination results are also discussed. Also, we derive integral means results for these classes.

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