Hipergeometrik Fonksiyonu İçeren Harmonik Tek Değerlikli Fonksiyonların Altsınıflarının Bir Uygulaması

Year 2020, Volume: 10 Issue: 2, 595 - 607, 30.12.2020

Waggas Galib Atshan Enaam Hadi Abd Sibel Yalcın

https://doi.org/10.37094/adyujsci.680530

Abstract

Bu makalenin amacı, hipergeometrik fonksiyonları içeren belirli konvolusyon operatörünü uygulayarak harmonik univalent fonksiyonların çeşitli altsınıfları arasında bağlantılar kurmaktır. Bu tür bağlantılar açık birim disk U da Goodman-Salagean tipli harmonik univalent fonksiyonları ile araştırılmıştır.

An Application of Subclasses of Harmonic Univalent Functions Involving Hypergeometric Function

Abstract

The main purpose of this paper is to establish connections between various subclasses of harmonic univalent functions by applying certain convolution operator involving hypergeometric functions. We investigate such connections with Goodman- Salagean-Type harmonic univalent functions in the open unit disc U.

Keywords

Univalent function, uniformly convex, linear operator, hadamard product

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