Generalizations of Hadamard Products of Certain Meromorphic Univalent Functions With Positive Coefficients

Aouf, M. K.; Silverman, Herb

doi:10.1515/dema-2008-0214

Cited by 10 publications

(6 citation statements)

References 7 publications

(9 reference statements)

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“…Also the concept of δ neighborhoods and partial sums of analytic functions to the class M n,q p,α (η, A, B). Interesting results about meromorphic functions can be found in the works [25][26][27][28][29][30][31].…”

Section: Concluding Remarks and Observationsmentioning

confidence: 99%

Basic Properties for Certain Subclasses of Meromorphic p-Valent Functions with Connected q-Analogue of Linear Differential Operator

El-Deeb

Cotîrlǎ

2023

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In this paper, we define three subclasses Mp,αn,q(η,A,B),Ip,αn(λ,μ,γ),, Rpn,q(λ,μ,γ) connected with a q-analogue of linear differential operator Dα,p,Gn,q which consist of functions F of the form F(ζ)=ζ−p+∑j=1−p∞ajζj(p∈N) satisfying the subordination condition p−1ηζDα,p,Gn,qF(ζ)′Dα,p,Gn,qF(ζ)+p≺p1+Aζ1+Bζ.Also, we study the various properties and characteristics of this subclass Mp,αn,q,∗(η,A,B) such as coefficients estimate, distortion bounds and convex family. Also the concept of δneighborhoods and partial sums of analytic functions to the class Mp,αn,q(η,A,B).

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Section: Concluding Remarks and Observationsmentioning

confidence: 99%

Basic Properties for Certain Subclasses of Meromorphic p-Valent Functions with Connected q-Analogue of Linear Differential Operator

El-Deeb

Cotîrlǎ

2023

Axioms

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“…Stimulated by means of earlier works on Σ P by means of Kumar et al [27] and function theorists (see Refs. [1,[27][28][29][30][31][32][33][34]), in this paper, we tried to define a new subclass M τ,κ ς, (µ, h, ℘) given in Definition 3, by utilising the generalized operator I τ,κ ς, unifying well-known classes of meromorphic uniformly convex functions with positive coefficients, and discuss its notable function properties.…”

Section: Erdély-kober Operator (Ek)mentioning

confidence: 99%

Pascu-Rønning Type Meromorphic Functions Based on Sălăgean-Erdély–Kober Operator

El-Deeb,

Murugusundaramoorthy,

Vijaya

et al. 2023

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In the present investigation, we introduce a new class of meromorphic functions defined in the punctured unit disk Δ*:={ϑ∈C:0<|ϑ|<1} by making use of the Erdély–Kober operator Iς,ϱτ,κ which unifies well-known classes of the meromorphic uniformly convex function with positive coefficients. Coefficient inequalities, growth and distortion inequalities, in addition to closure properties are acquired. We also set up a few outcomes concerning convolution and the partial sums of meromorphic functions in this new class. We additionally state some new subclasses and its characteristic houses through specializing the parameters that are new and no longer studied in association with the Erdély–Kober operator thus far.

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“…Atshan [3], Cho et al [5], Atshan and Kulkarni [4] and Aouf [2,10] are studied the meromorphic univalent function for different classes.…”

Section: Definition( 11) Letmentioning

confidence: 99%

On a New Class of Meromorphic Univalent Function Associated with Dziok_Srivastava Operator

Atshan,

Khalaf

2014

Jour. Kufa Math. Comp.

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Generalizations of Hadamard Products of Certain Meromorphic Univalent Functions With Positive Coefficients

Abstract: Abstract. The authors establish certain results concerning the generalized Hadamard products of certain meromorphic univalent functions with positive coefficients analagous to the results due to Choi et al.

Cited by 10 publications

References 7 publications

Basic Properties for Certain Subclasses of Meromorphic p-Valent Functions with Connected q-Analogue of Linear Differential Operator

Basic Properties for Certain Subclasses of Meromorphic p-Valent Functions with Connected q-Analogue of Linear Differential Operator

Pascu-Rønning Type Meromorphic Functions Based on Sălăgean-Erdély–Kober Operator

On a New Class of Meromorphic Univalent Function Associated with Dziok_Srivastava Operator

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