When can we compute analytically lookback time, age of the universe, and luminosity distance?

Understand

In Friedmann-Lema\^itre-Robertson-Walker cosmology, it is sometimes possible to compute analytically lookback time, age of the universe, and luminosity distance versus redshift, expressing them in terms of a finite number of elementary functions.

• We classify these situations using the Chebyshev theorem of integration and providing examples.