Disclosed are biodegradable aliphatic-aromatic polyesters obtained from aliphatic dicarboxylic acids, polyfunctional aromatic acids and diols, wherein the polyfunctional aromatic acids are constituted by mixtures of acids of renewable and synthetic origin its esters. In particular, the polyfunctional aromatic acids comprise at least one phthatic diacid and at least one heterocyclic aromatic diacid of renewable origin, which can be 2,5-furandicarboxylic acid and its esters. Also, provided are mixtures of the polyesters with other biodegradable polymers both of natural and synthetic origin.