The object of the present paper is to discuss the dominant of new integral operators Fλf(z) and $O_{−1}$f(z) concerning with some starlike functions and convex functions in U.
📌 3 Key Takeaways
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Objective & Hypothesis:Let T be the class of analytic functions in the open unit disc U with f(0) = 0 and f ′ (0) = 1.
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Key Findings & Data:For f(z) ∈ T, the Alexander integral operator $A_{−1}$f(z), the Libera integral operator $L_{−1}$f(z) and the Bernardi integral operator $B_{−1}$f(z) were considered before.
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Conclusion & Impact:The object of the present paper is to discuss the dominant of new integral operators Fλf(z) and $O_{−1}$f(z) concerning with some starlike functions and convex functions in U.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters
Abstract
Let T be the class of analytic functions in the open unit disc U with f(0) = 0 and f ′ (0) = 1. For f(z) ∈ T, the Alexander integral operator $A_{−1}$f(z), the Libera integral operator $L_{−1}$f(z) and the Bernardi integral operator $B_{−1}$f(z) were considered before. Using $A_{−1}$f(z) and $L_{−1}$1f(z), a new integral operator Fλf(z) is considered. After discuss some properties of dominant for Fλf(z), another new integral operator $O_{−1}$f(z) of f(z) ∈ T is discussed. The object of the present paper is to discuss the dominant of new integral operators Fλf(z) and $O_{−1}$f(z) concerning with some starlike functions and convex functions in U.
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Cite This Article
GÜNEY, H. Ö., OWA, S. (2022). New extension of Alexander and Libera integral operators. Turkish Journal of Mathematics, Cilt: 46 - Sayı: 1, 225–241. https://ajindex.com/articles/608586