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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 47 Issue: 5

On certain multivalent analytic functions starlike with respect to $k$-symmetric points

Yi-hui Xu(DEPARTMENT OF MATHEMATICS, SUQIAN COLLEGE)
Jin-lin Liu(DEPARTMENT OF MATHEMATICS, YANGZHOU UNİVERSITY)
Pages
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Publication Date
2018-10-16
DOI
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AI Summary & Key Takeaways

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

Distortion bounds, inclusion relations, integral trans forms and convolution properties for these classes are studied.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Two new subclasses $Q_{p,k}(\lambda, A,B)$ and $G_{p,k}(\lambda, A,B)$ of analytic and $p$- valent functions which are starlike with respect to $k$-symmetric points are introduced.
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Key Findings & Data:Two new subclasses $Q_{p,k}(\lambda, A,B)$ and $G_{p,k}(\lambda, A,B)$ of analytic and $p$- valent functions which are starlike with respect to $k$-symmetric points are introduced.
💡
Conclusion & Impact:Distortion bounds, inclusion relations, integral trans forms and convolution properties for these classes are studied.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Analytic function · convolution · subordination

Abstract

Two new subclasses $Q_{p,k}(\lambda, A,B)$ and $G_{p,k}(\lambda, A,B)$ of analytic and $p$- valent functions which are starlike with respect to $k$-symmetric points are introduced. Distortion bounds, inclusion relations, integral trans forms and convolution properties for these classes are studied.

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Cite This Article

Xu, Y., Liu, J. (2018). On certain multivalent analytic functions starlike with respect to $k$-symmetric points. Hacettepe Journal of Mathematics and Statistics, Volume: 47 Issue: 5. https://ajindex.com/articles/1402885

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