arXiv subjects

Saurabh Porwal

Publications and source records attributed to Saurabh Porwal.

2 recordsLinked to original sources

arXiv2021

Quantum approach on linear combination of harmonic univalent mappings

In this paper using $q$ calculus operator we obtain some sufficient conditions on $f_1$ and $f_2$ so that their linear combination $% f=tf_{1}+(1-t)f_{2},\ t\in \left[ 0,1\right] $, is univalent and convex in the direction of the real axis. Some examples are also illustrated to support our main results.

math.CV↗

arXiv2020

Univalent functions with positive coefficients involving Touchard polynomials

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 U.

math.CV↗