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Journals / Avrupa Bilim ve Teknoloji Dergisi / 2021 / Sayı: 28

On Harmonic Univalent Functions Involving (p,q)-Poisson Distribution Series

(p,q)-Poisson Dağılım Serisi İçeren Harmonik Yalınkat Fonksiyonlar Üzerine

Sibel YALCIN
Hasan BAYRAM
Pages
1048–1051
Publication Date
2021-11-30
DOI
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AI Summary & Key Takeaways

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

The aim of the present paper is to find connections between (p,q)-starlike harmonic univalent functions involving (p,q)-Poisson distribution series.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Harmonic functions are a classic title in the class of geometric functions.
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Key Findings & Data:Let H denote the class of continuous complex-valued harmonic functions which are harmonic in the open unit disk U={z ϵ C∶|z||g'(z)| (see [3]).
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Conclusion & Impact:The aim of the present paper is to find connections between (p,q)-starlike harmonic univalent functions involving (p,q)-Poisson distribution series.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Kompleks harmonik fonksiyonlar · univalent fonksiyonlar · (pq)-hesabı

Abstract

Harmonic functions are a classic title in the class of geometric functions. Many researchers have studied these function classes from past to present, and since it has a wide range of applications, it is still a popular class. In this study, we will examine harmonic univalent functions, a subclass of harmonic functions. In this study, a subclass of harmonic univalent functions will be examined. Let H denote the class of continuous complex-valued harmonic functions which are harmonic in the open unit disk U={z ϵ C∶|z||g'(z)| (see [3]). Throughout this paper, we will use introductory notations and delineations of the (p, q)- calculus. The aim of the present paper is to find connections between (p,q)-starlike harmonic univalent functions involving (p,q)-Poisson distribution series.

Özet

Öz Harmonik fonksiyonlar, geometrik fonksiyonlar teorisinde klasik bir başlıktır. Geçmişten günümüze bir çok araştırmacı Harmonik fonksiyon sınıflarını ve bu fonksiyonların geniş uygulama alanlarını çalışmışlardır. Bu konu günümüzde de hala popülerliğini korumaktadır. Biz bu çalışmada harmonic yalınkat fonksiyonların bir alt sınıfını çalışacağız. Bu makalede harmonic fonksiyonların bir alt sınıfını tanımlayacağız. H, U={z ϵ C∶|z||g'(z)| olmasıdır (bkz. [3]). Bu makale boyunca, (p, q)- hesabının giriş notasyonlarını ve tasvirlerini kullanacağız. Bu makalenin amacı, (p,q)-Poisson dağılım serilerini içeren (p,q)-yıldız benzeri harmonik tek değerli fonksiyonlar arasındaki bağlantıları bulmaktır.

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Cite This Article

YALCIN, S., BAYRAM, H. (2021). On Harmonic Univalent Functions Involving (p,q)-Poisson Distribution Series. Avrupa Bilim ve Teknoloji Dergisi, Sayı: 28, 1048–1051. https://ajindex.com/articles/471603

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