Univalent Functions with PositiveCoefficients Involving Touchard Polynomials

Authors

Gangadharan Murugusundraramoorthy, Department of Mathematics, School of Advanced Sciences, VIT University, Vellore -632014, IndiaFollow
Saurabh Porwal, Department of Mathematics, Ram Sahai Government Degree College, Bairi-Shivrajpur-Kanpur-209205, (U.P.), IndiaFollow

Document Type

Article

Abstract

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 $\mathbb{U}.$

Keywords

Univalent, Starlike functions, Convex functions, Hadamard product, Touchard polynomials.

Recommended Citation

Murugusundraramoorthy, Gangadharan and Porwal, Saurabh (2020) "Univalent Functions with PositiveCoefficients Involving Touchard Polynomials," Al-Qadisiyah Journal of Pure Science: Vol. 25 : No. 4 , Article 1.
Available at: https://doi.org/10.29350/qjps.2020.25.4.1176

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.