This paper presents an analytical study of the one-dimensional Dunkl-Schrödinger equation with a modified Eckart potential. The analysis is carried out within the framework of Dunkl differential operators, which incorporate the Wigner parameter \(\mu _{1}\) . The classical Eckart potential is generalized by using four real parameters, \(a_{1}\) , \(a_{2}\) , \(a_{3}\) , and \(a_{4}\) , thereby providing greater flexibility in modeling short-range interactions. The resulting quantization condition yields an implicit expression for the energy spectrum \(E_{n}\) and the corresponding wavefunction \(\phi _{1}(x)\) . Numerical computations were performed to examine the influence of each parameter on the obtained results. Moreover, several particular cases corresponding to specific potentials were investigated. For each case, analytical expressions for the energy spectrum and the wavefunctions were derived both in the Dunkl framework and in the classical limit \(\mu _{1}\rightarrow 0\) . The paper concludes with a concise summary of the main analytical findings.
