Subordination Properties of Certain Operators Concerning Fractional Integral and Libera Integral Operator
Abstrak
The results contained in this paper are the result of a study regarding fractional calculus combined with the classical theory of differential subordination established for analytic complex valued functions. A new operator is introduced by applying the Libera integral operator and fractional integral of order <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>λ</mi></semantics></math></inline-formula> for analytic functions. Many subordination properties are obtained for this newly defined operator by using famous lemmas proved by important scientists concerned with geometric function theory, such as Eenigenburg, Hallenbeck, Miller, Mocanu, Nunokawa, Reade, Ruscheweyh and Suffridge. Results regarding strong starlikeness and convexity of order <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>α</mi></semantics></math></inline-formula> are also discussed, and an example shows how the outcome of the research can be applied.
Topik & Kata Kunci
Penulis (3)
Georgia Irina Oros
Gheorghe Oros
Shigeyoshi Owa
Akses Cepat
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- 2022
- Sumber Database
- DOAJ
- DOI
- 10.3390/fractalfract7010042
- Akses
- Open Access ✓