id="p000005">The Rényi, Shannon and Tsallis entropies of Rydberg hydrogenic states are determined.
id="p000010">The dimensionality effects on the main entropies of Rydberg states are examined.
id="p000015">These entropies are expressed via the nuclear charge and the hyperquantum numbers.
id="p000020">A novel technique based on the strong Laguerre asymptotics has been used.