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Published in 2020 at "Journal of Mathematics"
DOI: 10.1155/2020/6675732
Abstract: Recently, there is a rapid increase of research in the area of Quantum calculus (known as - calculus) due to its widespread applications in many areas of study, such as geometric functions theory. To this…
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Keywords:
subordination related;
differential subordination;
analytic functions;
family ... See more keywords
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Published in 2022 at "Axioms"
DOI: 10.3390/axioms11100534
Abstract: This paper is related to notions adapted from fuzzy set theory to the field of complex analysis, namely fuzzy differential subordinations. This work aims to present new fuzzy differential subordinations for which the fuzzy best…
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Keywords:
fuzzy best;
meromorphic function;
differential subordination;
fuzzy differential ... See more keywords
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Published in 2023 at "Axioms"
DOI: 10.3390/axioms12020133
Abstract: Sanford S. Miller and Petru T. Mocanu’s theory of second-order differential subordinations was extended for the case of third-order differential subordinations by José A. Antonino and Sanford S. Miller in 2011. In this paper, new…
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Keywords:
function;
order differential;
third order;
differential subordinations ... See more keywords
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Published in 2023 at "Axioms"
DOI: 10.3390/axioms12020169
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
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Keywords:
subordination superordination;
properties differential;
differential subordination;
subordination ... See more keywords
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Published in 2021 at "Symmetry"
DOI: 10.3390/sym13060966
Abstract: In this paper we study a certain differential subordination related to the harmonic mean and its symmetry properties, in the case where a dominant is a linear function. In addition to the known general results…
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Keywords:
harmonic mean;
differential subordination;
certain differential;
function ... See more keywords
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Published in 2022 at "Symmetry"
DOI: 10.3390/sym14010099
Abstract: In this research, we study suitable classes of admissible functions and establish the properties of third-order differential subordination by making use a certain differential operator of analytic functions in U and have the normalized Taylor–Maclaurin…
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Keywords:
certain differential;
order differential;
third order;
differential operator ... See more keywords
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Published in 2022 at "Symmetry"
DOI: 10.3390/sym14020324
Abstract: We present several new results for fourth-order differential subordination and superordination in this paper by using the differential linear operator . Relevant connections between the new results presented here and those considered in previous works…
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Keywords:
new results;
fourth order;
superordination;
differential subordination ... See more keywords
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Published in 2022 at "Symmetry"
DOI: 10.3390/sym14081576
Abstract: We present several new results for higher-order (fourth-order) differential subordination and superordination in this paper by using the new operator Hα,β,𝛿,𝜉,γ,nf(v) and offer numerous new findings for fourth-order differential subordination and superordination The innovative discoveries…
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Keywords:
order differential;
order;
differential subordination;
subordination superordination ... See more keywords
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Published in 2023 at "Symmetry"
DOI: 10.3390/sym15020295
Abstract: In this paper, we discuss and introduce a new study using an integral operator wk,μm in geometric function theory, especially sandwich theorems. We obtained some conclusions for differential subordination and superordination for a new formula…
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Keywords:
new results;
using differential;
integral operator;
results integral ... See more keywords
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Published in 2018 at "Turkish Journal of Mathematics"
DOI: 10.3906/mat-1706-49
Abstract: We obtain several inclusions between the class of functions with positive real part and the class of starlike univalent functions associated with the Booth lemniscate. These results are proved by applying the well-known theory of…
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Keywords:
starlike functions;
radius;
booth lemniscate;
differential subordination ... See more keywords