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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
The object of this paper is to discuss some properties of f (z) concerning D λ z f (z).
📌 3 Key Takeaways
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Objective & Hypothesis:For analytic functions f (z) in the class An, fractional calculus (fractional integrals and fractional derivatives) D λ z f (z) of order λ are introduced.
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Key Findings & Data:Applying D λ z f (z) for f (z) ∈ An, we introduce the interesting subclass An (αm, β, ρ, λ) of An.
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Conclusion & Impact:The object of this paper is to discuss some properties of f (z) concerning D λ z f (z).
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters
Abstract
For analytic functions f (z) in the class An, fractional calculus (fractional integrals and fractional derivatives) D λ z f (z) of order λ are introduced. Applying D λ z f (z) for f (z) ∈ An, we introduce the interesting subclass An (αm, β, ρ, λ) of An. The object of this paper is to discuss some properties of f (z) concerning D λ z f (z).
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Cite This Article
OWA, S., UYANIK, N. (2022). Some applications of fractional calculus for analytic function. Turkish Journal of Mathematics, Cilt: 45 - Sayı: 5, 2025–2034. https://ajindex.com/articles/607367