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Dergiler / European Journal of Pure and Applied Mathematics (elektronik) / 2011 / Cilt: 4 - Sayı: 1

On new subclasses of analytic functions involving generalized differential and integral operators

Maslina DARUS
Rabha W. IBRAHIM
Sayfa
59–66
Yayın Tarihi
2022-10-18
DOI
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Characterization and other properties of these classes are studied. 2000 Mathematics Subject Classifications: 30C45

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Amaç & Hipotez:We define a generalized differential and integral operators on the class $frak{A}$ of analytic functions $f(z) = z + sum^{infty}_{n=2}a_nz^n$ in the unit disk $U := {z ∈ Bbb{C}:|z| < 1} involving k−th Hadamard product (convolution) as follows $D^k_{alpha,lambda}f(z)=z+sumlimits_{n=2}^{infty} [(n-1)(lambda-alpha)+n]^k a_n z^n, hspace {3mm} (z in U)$.
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Temel Bulgular & Veri:These operators are generalized for some of well known operators for example Salagean operator.
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Sonuç & Katkı:Characterization and other properties of these classes are studied. 2000 Mathematics Subject Classifications: 30C45
🔬Tür:Araştırma Makalesi
📍Kapsam:2000 Verileri
⚙️Değişkenler:Alan Parametreleri

Abstract

We define a generalized differential and integral operators on the class $frak{A}$ of analytic functions $f(z) = z + sum^{infty}_{n=2}a_nz^n$ in the unit disk $U := {z ∈ Bbb{C}:|z| < 1} involving k−th Hadamard product (convolution) as follows $D^k_{alpha,lambda}f(z)=z+sumlimits_{n=2}^{infty} [(n-1)(lambda-alpha)+n]^k a_n z^n, hspace {3mm} (z in U)$. These operators are generalized for some of well known operators for example Salagean operator. New classes containing these operators are investigated. Characterization and other properties of these classes are studied. 2000 Mathematics Subject Classifications: 30C45

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Bu Makaleye Atıf Yap

DARUS, M., IBRAHIM, R. W. (2022). On new subclasses of analytic functions involving generalized differential and integral operators. European Journal of Pure and Applied Mathematics (elektronik), Cilt: 4 - Sayı: 1, 59–66. https://ajindex.com/articles/511320

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Kaynakça (14)

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