A new parametrization of Hubble function and Hubble tension

We present a new parameterized Hubble function and employ observational data from Hubble, Pantheon, and Baryon Acoustic Oscillations to constrain model parameters. The proposed method is thoroughly validated against these datasets, demonstrating a robust fit to the observational data. The obtained best-fit values are H 0 = 67.5 +1.3 -1.6 km s -1 Mpc -1 , Ω m0 = 0.2764 ± 0.0094, and α = 0.33 ± 0.22, consistent with the Planck 2018 results, highlighting the existence of Hubble tension.