  In this study, the information-theoretic measures in both the position and
momentum spaces for the pseudoharmonic potential using Fisher information,
Shannon entropy, Renyi entropy, Tsallis entropy and Onicescu information energy
are investigated analytically and numerically. The results obtained are applied
to some diatomic molecules. The Renyi and Tsallis entropies are analytically
obtained in position space using Srivastava-Niukkanen linearization formula in
terms of the Lauricella hypergeometric function. Also they are obtained in the
momentum space in terms of the multivariate Bell polynomials of Combinatorics.
We observed that the Fisher information increases with $n$ in both the position
and momentum spaces, but decreases with $\ell$ for all the diatomic molecules
considered. The Shannon entropy also increases with increasing $n$ in the
position space and decreases with increasing $\ell$. The variations of the
Renyi and Tsallis entropies with $\ell$ are also discussed. The exact and
numerical values of the Onicescu information energy are also obtained, after
which the ratio of information-theoretic impetuses to lengths for Fisher,
Shannon and Renyi are obtained.
