# A Dunkl-Gamma Type Operator in Terms of Two-Variable Hermite Polynomials

## TL;DR

This paper introduces a new Dunkl-Gamma type operator utilizing two-variable Hermite polynomials and analyzes its approximation properties using classical tools like the modulus of continuity and Peetre's K-functional.

## Contribution

It presents a novel Dunkl-Gamma operator based on two-variable Hermite polynomials and studies its approximation behavior with established mathematical tools.

## Key findings

- The operator effectively approximates functions within the studied framework.
- Approximation properties are characterized using classical modulus of continuity.
- The operator's convergence is analyzed via Peetre's K-functional.

## Abstract

The goal of this paper is to present a Dunkl-Gamma type operator with the help of two-variable Hermite polynomials and to derive its approximating properties via the classical modulus of continuity, second modulus of continuity and Peetre's $K$-functional.