Dergiler / 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
Sayfa
24–30
Yayın Tarihi
2021-04-30
DOI
—
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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 Maddede Bu Makale

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Amaç & Hipotez: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.
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Temel Bulgular & Veri:The $q$- derivative operator are also used to construct some subclasses of analytic functions.
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Sonuç & Katkı: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.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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Kaynakça (9)

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  7. Mustafa N, Korkmaz S. Analytic Functions Expressed with Poisson Distribution Series and their Some Properties. Journal of Contemporary Applied Mathematics, 2020 (submitted).
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