Journals / Turkish Journal of Science / 2026 / Cilt: 6 Sayı: 1

Analytic Functions Expressed with q-Poisson Distribution Series

Nizami Mustafa(KAFKAS ÜNİVERSİTESİ)0000-0002-2758-0274
Pages
24–30
Publication Date
2021-04-30
DOI
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AI Summary & Key Takeaways

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

Also, in the study, we define two functions using $q$-derivative and we aim to find the conditions for this functions to belonging to defined above subclasses of analytic functions.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Recently, the $q$- derivative operator has been used to investigate several subclasses of analytic functions in different ways with different perspectives by many researchers and their interesting results are too voluminous to discuss.
📊
Key Findings & Data:The $q$- derivative operator are also used to construct some subclasses of analytic functions.
💡
Conclusion & Impact:Also, in the study, we define two functions using $q$-derivative and we aim to find the conditions for this functions to belonging to defined above subclasses of analytic functions.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:q-poisson distribution · analytic function · univalent function

Abstract

Recently, the $q$- derivative operator has been used to investigate several subclasses of analytic functions in different ways with different perspectives by many researchers and their interesting results are too voluminous to discuss. The $q$- derivative operator are also used to construct some subclasses of analytic functions. In this study, we introduce certain subclasses of analytic and univalent functions in the open unit disk defined by $q$-derivative. Here, we give some conditions for an analytic and univalent function to belonging to these classes. Also, in the study, we define two functions using $q$-derivative and we aim to find the conditions for this functions to belonging to defined above subclasses of analytic functions.

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Cite This Article

Mustafa, N., Nezir, V. (2021). Analytic Functions Expressed with q-Poisson Distribution Series. Turkish Journal of Science, Cilt: 6 Sayı: 1, 24–30. https://ajindex.com/articles/1557540

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References (9)

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