Analitik fonksiyonlar teorisinde Pascal tipi dağılım serileri ile uygulamaları üzerine bir çalışma

Year 2021, Volume: 11 Issue: 1, 229 - 234, 15.01.2021

Şahsene Altınkaya

https://doi.org/10.17714/gumusfenbil.710716

Abstract

Bu güncel çalışmada,



formundaki Pascal tipli dağılım serisi kullanılarak iki kuvvet serisi ve tanımlanmıştır. Daha sonra bu serilerin USTN(β) analitik fonksiyon sınıfına ait olması için gerekli şartlar geliştirilmiştir.

Keywords

Analitik fonksiyonlar, Dağılım serileri, Yıldızıl fonksiyonlar

A study on the Pascal type distribution series with applications in analytic function theory

Abstract

In this current study, by using the Pascal type distribution series of the form

we define two power series and Afterwards, we develop sufficient conditions for these series to be in the class USTN(β) of analytic functions.

Keywords

Analytic functions, Distribution series, Starlike functions

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