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Heun functions and combinatorial identities
Adina Barar, Gabriela Raluca Mocanu, Ioan Rasa
We give closed forms for several families of Heun functions related to classical entropies. By comparing two expressions of the same Heun function, we get several combinatorial ide…
Heun functions related to entropies
Adina Barar, Gabriela Raluca Mocanu, Ioan Rasa
We consider the indices of coincidence for the binomial, Poisson, and negative binomial distributions. They are related in a simple manner to the Rényi entropy and Tsallis entropy.…
Bounds for some entropies and special functions
Adina Barar, Gabriela Raluca Mocanu, Ioan Rasa
We consider a family of probability distributions depending on a real parameter and including the binomial, Poisson and negative binomial distributions. The corresponding index of…