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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
In the present paper we will establish some properties of the class of α - Quasi - Uniformly convex, p-valent functions of type β in the open unit disk, which we denote by QUCVp,λ β,α, for λ > −1; 0 ≤ β < p, α ≥ 0 and p ∈ N, by making use of the Ruscheweyh Derivatives.
📌 3 Key Takeaways
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Objective & Hypothesis:In the present paper we will establish some properties of the class of α - Quasi - Uniformly convex, p-valent functions of type β in the open unit disk, which we denote by QUCVp,λ β,α, for λ > −1; 0 ≤ β < p, α ≥ 0 and p ∈ N, by making use of the Ruscheweyh Derivatives.
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Key Findings & Data:In the present paper we will establish some properties of the class of α - Quasi - Uniformly convex, p-valent functions of type β in the open unit disk, which we denote by QUCVp,λ β,α, for λ > −1; 0 ≤ β < p, α ≥ 0 and p ∈ N, by making use of the Ruscheweyh Derivatives.
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Conclusion & Impact:In the present paper we will establish some properties of the class of α - Quasi - Uniformly convex, p-valent functions of type β in the open unit disk, which we denote by QUCVp,λ β,α, for λ > −1; 0 ≤ β < p, α ≥ 0 and p ∈ N, by making use of the Ruscheweyh Derivatives.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Ruscheweyh Derivative · Quasi-convex · Uniformly convex
Abstract
In the present paper we will establish some properties of the class of α - Quasi - Uniformly convex, p-valent functions of type β in the open unit disk, which we denote by QUCVp,λ β,α, for λ > −1; 0 ≤ β < p, α ≥ 0 and p ∈ N, by making use of the Ruscheweyh Derivatives.
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Cite This Article
Tehranchi, A., Kulkarni, S. R. (2006). ON ALPHA-QUASI-UNIFORMLY CONVEX p-VALENT FUNCTIONS OF TYPE β IN TERMS OF RUSCHEWEYH DERIVATIVES. Hacettepe Journal of Mathematics and Statistics, Volume: 35 Issue: 1. https://ajindex.com/articles/1403811