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Journals / Turkish Journal of Science / 2020 / Cilt: 5 - Sayı: 3

Neighborhoods of Certain Classes of Analytic Functions Defined by Normalized Function az^2 J_ϑ'' (z)+bzJ_ϑ' (z)+cJ_ϑ (z)

Murat ÇAĞLAR
Erhan DENİZ
Sercan KAZIMOĞLU
Pages
226–232
Publication Date
2020-12-30
DOI
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AI Summary & Key Takeaways

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

The object of the present paper is to determine coefficient inequalities, inclusion relations and neighborhoods properties for functions f(z) belonging to this subclass.

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper, we introduce a new subclass of analytic functions in the open unit disk U with negative coefficients defined by normalized of the az^2 J_ϑ^'' (z)+bzJ_ϑ^' (z)+cJ_ϑ (z) function, where J_ϑ (z) is called the Bessel function of the first kind of order ϑ.
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Key Findings & Data:In this paper, we introduce a new subclass of analytic functions in the open unit disk U with negative coefficients defined by normalized of the az^2 J_ϑ^'' (z)+bzJ_ϑ^' (z)+cJ_ϑ (z) function, where J_ϑ (z) is called the Bessel function of the first kind of order ϑ.
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Conclusion & Impact:The object of the present paper is to determine coefficient inequalities, inclusion relations and neighborhoods properties for functions f(z) belonging to this subclass.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Analytic function · starlike and convex functions · Bessel function

Abstract

In this paper, we introduce a new subclass of analytic functions in the open unit disk U with negative coefficients defined by normalized of the az^2 J_ϑ^'' (z)+bzJ_ϑ^' (z)+cJ_ϑ (z) function, where J_ϑ (z) is called the Bessel function of the first kind of order ϑ. The object of the present paper is to determine coefficient inequalities, inclusion relations and neighborhoods properties for functions f(z) belonging to this subclass.

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Cite This Article

ÇAĞLAR, M., DENİZ, E., KAZIMOĞLU, S. (2020). Neighborhoods of Certain Classes of Analytic Functions Defined by Normalized Function az^2 J_ϑ'' (z)+bzJ_ϑ' (z)+cJ_ϑ (z). Turkish Journal of Science, Cilt: 5 - Sayı: 3, 226–232. https://ajindex.com/articles/809479

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