Properties of Differential Subordination and Superordination for Multivalent Functions Associated with the Convolution Operators
Using convolution (or Hadamard product), we define the El-Ashwah and Drbuk linear operator, which is a multivalent function in the unit disk U=w:w<1 and w∈₵, and satisfy its specific relationship to derive the subordination, superordination, and sandwich results for this operator by using propert...
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Published in | Axioms Vol. 12; no. 2; p. 169 |
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Language | English |
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Abstract | Using convolution (or Hadamard product), we define the El-Ashwah and Drbuk linear operator, which is a multivalent function in the unit disk U=w:w<1 and w∈₵, and satisfy its specific relationship to derive the subordination, superordination, and sandwich results for this operator by using properties of subordination and superordination concepts. |
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AbstractList | Using convolution (or Hadamard product), we define the El-Ashwah and Drbuk linear operator, which is a multivalent function in the unit disk U=w:w<1 and w∈₵, and satisfy its specific relationship to derive the subordination, superordination, and sandwich results for this operator by using properties of subordination and superordination concepts. Using convolution (or Hadamard product), we define the El-Ashwah and Drbuk linear operator, which is a multivalent function in the unit disk U=w:w<1 and w∈₵, and satisfy its specific relationship to derive the subordination, superordination, and sandwich results for this operator by using properties of subordination and superordination concepts. Using convolution (or Hadamard product), we define the El-Ashwah and Drbuk linear operator, which is a multivalent function in the unit disk U=[w:|w|<1andw∈₵], and satisfy its specific relationship to derive the subordination, superordination, and sandwich results for this operator by using properties of subordination and superordination concepts. |
Audience | Academic |
Author | Juma, Abdul Rahman S Cotîrlă, Luminiţa-Ioana |
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Cites_doi | 10.3390/axioms7020027 10.1016/j.mcm.2011.10.024 10.1016/j.jmaa.2006.05.080 10.29304/jqcm.2020.12.1.681 |
ContentType | Journal Article |
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References | ref_1 Miller (ref_3) 2007; 329 Atshan (ref_8) 2021; 28 Drbuk (ref_6) 2014; 21 Kota (ref_2) 2022; 11 Miller (ref_12) 2003; 48 (ref_4) 2020; 62 Prajapat (ref_9) 2012; 55 Atshan (ref_7) 2020; 12 ref_5 ref_10 Shanmugam (ref_11) 2006; 3 |
References_xml | – volume: 11 start-page: 11 year: 2022 ident: ref_2 article-title: Inclusion and Subordination Properties for Classes of Multivalent Functions Involving Differential-Integral Operator publication-title: Inf. Sci. Lett. contributor: fullname: Kota – volume: 28 start-page: 111 year: 2021 ident: ref_8 article-title: Third-Order Sandwich Results of Multivalent Analytic Functions Involving Catas Operator publication-title: An. Univ. Oradea Fasc. Mat. contributor: fullname: Atshan – ident: ref_5 doi: 10.3390/axioms7020027 – volume: 62 start-page: 19 year: 2020 ident: ref_4 article-title: A Differential Sandwich Theorem for Analytic Functions Defined by an Integral Operator publication-title: Acta Univ. Apulensis – volume: 55 start-page: 1456 year: 2012 ident: ref_9 article-title: Subordination and superordination preserving properties for generalized multiplier transformation operator publication-title: Math. Comput. Model. doi: 10.1016/j.mcm.2011.10.024 contributor: fullname: Prajapat – ident: ref_1 – volume: 21 start-page: 3000 year: 2014 ident: ref_6 article-title: Subordination properties of p-valent functions defined by linear operators publication-title: Br. J. Math. Comput. Sci. contributor: fullname: Drbuk – volume: 329 start-page: 327 year: 2007 ident: ref_3 article-title: Briot–Bouquet differential superordinations and sandwich theorems publication-title: J. Math. Anal. Appl. doi: 10.1016/j.jmaa.2006.05.080 contributor: fullname: Miller – volume: 3 start-page: 1 year: 2006 ident: ref_11 article-title: Differential sandwich theorems for subclasses of analytic functions publication-title: Aust. J. Math. Anal. Appl. contributor: fullname: Shanmugam – volume: 12 start-page: 96 year: 2020 ident: ref_7 article-title: New Concept on Fourth-Order Differential Subordination and Superordination with Some Results for Multivalent Analytic Functions publication-title: J. Al-Qadisiyah Comput. Sci. Math. doi: 10.29304/jqcm.2020.12.1.681 contributor: fullname: Atshan – volume: 48 start-page: 815826 year: 2003 ident: ref_12 article-title: Subordinates of differential superordinations publication-title: Complex Var. Theory Appl. contributor: fullname: Miller – ident: ref_10 |
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Snippet | Using convolution (or Hadamard product), we define the El-Ashwah and Drbuk linear operator, which is a multivalent function in the unit disk U=w:w<1 and w∈₵,... Using convolution (or Hadamard product), we define the El-Ashwah and Drbuk linear operator, which is a multivalent function in the unit disk U=[w:|w|<1andw∈₵],... Using convolution (or Hadamard product), we define the El-Ashwah and Drbuk linear operator, which is a multivalent function in the unit disk U=w:w<1 and w∈₵,... Using convolution (or Hadamard product), we define the El-Ashwah and Drbuk linear operator, which is a multivalent function in the unit disk U= w: w <1 and w∈₵... |
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SubjectTerms | Convolution Functional equations Functions Hadamard product Linear operators multivalent functions Operator theory Operators (mathematics) subordination superordination |
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Title | Properties of Differential Subordination and Superordination for Multivalent Functions Associated with the Convolution Operators |
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