Journals / Turkish Journal of Mathematics / 2019 / Cilt: 43 - Sayı: 4

Some applications of differential subordination for certain starlike functions

Pages
1979–1987
Publication Date
2019-08-01
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Let $\mathcal{S}^*(q_c)$ denote the class of functions $f$ analytic in the open unit disc $\Delta$, normalized by the condition $f(0)=0=f'(0)-1$ and satisfying the following inequality $\left|\left(\frac{zf'(z)}{f(z)}\right)^2-1\right|

📌 3 Key Takeaways

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Objective & Hypothesis:Let $\mathcal{S}^*(q_c)$ denote the class of functions $f$ analytic in the open unit disc $\Delta$, normalized by the condition $f(0)=0=f'(0)-1$ and satisfying the following inequality $\left|\left(\frac{zf'(z)}{f(z)}\right)^2-1\right|
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Key Findings & Data:Let $\mathcal{S}^*(q_c)$ denote the class of functions $f$ analytic in the open unit disc $\Delta$, normalized by the condition $f(0)=0=f'(0)-1$ and satisfying the following inequality $\left|\left(\frac{zf'(z)}{f(z)}\right)^2-1\right|
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Conclusion & Impact:Let $\mathcal{S}^*(q_c)$ denote the class of functions $f$ analytic in the open unit disc $\Delta$, normalized by the condition $f(0)=0=f'(0)-1$ and satisfying the following inequality $\left|\left(\frac{zf'(z)}{f(z)}\right)^2-1\right|
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Analytic · univalent · subordination

Abstract

Let $\mathcal{S}^*(q_c)$ denote the class of functions $f$ analytic in the open unit disc $\Delta$, normalized by the condition $f(0)=0=f'(0)-1$ and satisfying the following inequality $\left|\left(\frac{zf'(z)}{f(z)}\right)^2-1\right|

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Cite This Article

KARGAR, R., SPELINA, L. T. (2019). Some applications of differential subordination for certain starlike functions. Turkish Journal of Mathematics, Cilt: 43 - Sayı: 4, 1979–1987. https://ajindex.com/articles/208988

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