holographic dark energy models in frw universe from parametrization of q with f(q,t) gravity

In this paper, we study the {holographic dark energy (hde)} cosmological models within the f(q,t) gravity framework. here, q and t represent the non-metricity scalar and energy-momentum tensor trace, respectively. in order to find the solutions in the friedman-robertson-walker model, we use the deceleration parameter q(z) and describe the transiting universe evolution and the hubble parameter. we obtain the constraints on model parameters using {markov chain monte carlo (mcmc)}  analysis with the supernovae type ia observations from the pantheon sample. we further investigate the cosmological parameters like the energy density, equation of state parameter, and classical stability parameter in terms of redshift with the physically plausible f(q,t)=μ q +υ t form. we investigate three hde models in this framework with different ir cutoffs. the distinct cosmological evolution scenarios have been studied with the cosmographic parameters.