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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
We develop the integral representation, inclusions and convolution conditions for the functions in the class $M_{s}^{k}[\alpha,\beta,\lambda]$ .
📌 3 Key Takeaways
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Objective & Hypothesis:In this article, we introduce a new class $M_{s}^{k}[\alpha,\beta,\lambda]$ which generalizes the various classes of analytic functions with respect to k-symmetric points.
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Key Findings & Data:Naturally, the class $M_{s}^{k}[\alpha,\beta,\lambda]$ combines the classes $S_{s}^{k}(\alpha,\beta)$ and $C_{s}^{k}(\alpha,\beta)$.
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Conclusion & Impact:We develop the integral representation, inclusions and convolution conditions for the functions in the class $M_{s}^{k}[\alpha,\beta,\lambda]$ .
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Convex Functions · Starlike functions · Symmetric points
Abstract
In this article, we introduce a new class $M_{s}^{k}[\alpha,\beta,\lambda]$ which generalizes the various classes of analytic functions with respect to k-symmetric points. Naturally, the class $M_{s}^{k}[\alpha,\beta,\lambda]$ combines the classes $S_{s}^{k}(\alpha,\beta)$ and $C_{s}^{k}(\alpha,\beta)$. We also study the coefficient estimates and obtain some inequalities related to the coefficients of functions in these classes. We develop the integral representation, inclusions and convolution conditions for the functions in the class $M_{s}^{k}[\alpha,\beta,\lambda]$ .
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Cite This Article
Bukhari, S. Z. H., Raza, M., Nazir, M. (2016). Some generalizations of the class of analytic functions with respect to k-symmetric points. Hacettepe Journal of Mathematics and Statistics, Volume: 45 Issue: 1. https://ajindex.com/articles/1403184