26 research outputs found

    Growth results for a subclass of Bazilevič functions

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    For α>0, let B(α) be the class of regular normalized Bazilevič functions defined in the unit disc. Choosing the associated starlike function g(z)≡z gives a proper subclass B1(α) of B(α). For B(α), correct growth estimates in terms of the area function are unknown. Several results in this direction are given for B1(12)

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

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    summary:Using the operator Dq,ϱm(λ,l)\frak {D}_{q,\varrho }^{m}(\lambda ,l), we introduce the subclasses Yq,ϱm(l,λ,γ)\frak {Y}^{*m}_{q,\varrho }(l,\lambda ,\gamma ) and Kq,ϱm(l,λ,γ)\frak {K}^{*m}_{q,\varrho }(l,\lambda ,\gamma ) 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

    Differential inequalities for meromorphic p-valent functions associated with generalized integral operator

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    In this paper the author introduced a new generalized integral operator for meromorphic p-valent functions in U*={z:z in C and 0<|z|<1. The object of this paper is to give an application of this operator to the differential inequalities

    Inclusion Properties for Certain Subclasses of Uniformly P-Valent Analytic Functions Involving Linear Operator

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    In this paper, the authors study some inclusion results for new subclasses of b-uniformly -valent functions in the open unit disc defined by differ-integral operator and some results of certain integral operator are also obtained

    Hadamard Product Concerning Certain Meromorphic Functions

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    In this paper the authors introduced a new generalized differintegral operator for meromorphic univalent functions in U* = {z : z ∈ C, 0 < |z| < 1}. The objective of this paper is to establish certain results concerning the Hadamard product of functions in the classes ∑^{∗,m}_{μ,λ} (α, β , γ, k) and ∑^h_{μ,λ} (α, β , γ, k)

    Fekete-Szegö inequalities for certain subclasses of meromorphic functions of complex order

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    In this paper, we obtain Fekete-Szegö inequalities for a certain class of meromorphic functions f(z). Sharp bounds for the Fekete-Szegö functional |a1-μa02|are obtained

    New results about fuzzy γ-convex functions connected with the q-analogue multiplier-Noor integral operator

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    The features of analytical functions were mostly studied using a fuzzy subset and a q \mathfrak{q} -difference operator in this study, as we investigate many fuzzy differential subordinations related to the q \mathfrak{q} -analogue multiplier-Noor integral operator. By applying fuzzy subordination to univalent functions whose range is symmetric with respect to the real axis, we create a few new subclasses of analytical functions. We define numerous classes related to the family of linear q \mathfrak{q} -operators and introduce them. Here, we focus on the inclusion results and other integral features
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