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Mathematics

Al-Qadisiyah Journal of Pure Science

2020

Starlike functions

Articles 1 - 2 of 2

Full-Text Articles in Physical Sciences and Mathematics

Univalent Functions With Positivecoefficients Involving Touchard Polynomials, Gangadharan Murugusundraramoorthy, Saurabh Porwal Oct 2020

Univalent Functions With Positivecoefficients Involving Touchard Polynomials, Gangadharan Murugusundraramoorthy, Saurabh Porwal

Al-Qadisiyah Journal of Pure Science

The purpose of the present paper is to establish connections between various subclasses of analytic univalent functions by applying certain convolution operator involving Touchard polynomials. To be more precise, we investigate such connections with the classes of analytic univalent functions with positive coefficients in the open unit disk $\mathbb{U}.$


A New Subclass Of Starlike Harmonic Functions Defined By Subordination, Serkan Çakmak, Sibel Yalçın, Şahsen Altınkaya Jan 2020

A New Subclass Of Starlike Harmonic Functions Defined By Subordination, Serkan Çakmak, Sibel Yalçın, Şahsen Altınkaya

Al-Qadisiyah Journal of Pure Science

In this current work, by using a relation of subordination, we define a new subclass of starlike harmonic functions. We get coefficient bounds, distortion theorems, extreme points, convolution and convex combinations for this class of functions. Moreover, some relevant connections of the results presented here with diverse known results are briefly denoted.