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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Some corresponding consequences of our main results are also considered.
📌 3 Key Takeaways
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Objective & Hypothesis:In recent years, applications of Bessel differential equations have been commonly used in univalent functions theory.
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Key Findings & Data:The main object of the present paper is to give some characteristic properties for some subclasses of uniformly starlike and convex functions which are defined here by means of the normalized form of the generalized Bessel function to be univalent in the open unit disc.
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Conclusion & Impact:Some corresponding consequences of our main results are also considered.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Analytic functions · Bessel function · starlike functions
Abstract
In recent years, applications of Bessel differential equations have been commonly used in univalent functions theory. The main object of the present paper is to give some characteristic properties for some subclasses of uniformly starlike and convex functions which are defined here by means of the normalized form of the generalized Bessel function to be univalent in the open unit disc. Furthermore, we also establish some results of these subclasses related to a particular integral operator. Some corresponding consequences of our main results are also considered.
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Cite This Article
NAEEM, M., HUSSAIN, S., SAKAR, F. M., MAHMOOD, T., RASHEED, A. (2019). Subclasses of uniformly convex and starlike functions associated with Bessel functions. Turkish Journal of Mathematics, Cilt: 43 - Sayı: 5, 2433–2443. https://ajindex.com/articles/201387