2 citations · 6 across the 4 of their papers we have counts for
6 papers
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…
A sharpening of a problem on Bernstein polynomials and convex functions
Ulrich Abel, Ioan Rasa
We present an elementary proof of a conjecture proposed by I. Rasa in 2017 which is an inequality involving Bernstein basis polynomials and convex functions. It was affirmed in pos…
The index of coincidence for the binomial distribution is log-convex
Ioan Rasa
We consider the binomial distribution with parameters and , and show that the sum of the squared probabilities is a log-convex function of . This completes the proof of a…
Entropies and the derivatives of some Heun functions
Ioan Rasa
This short note contains a list of new results concerning the Rényi entropy, the Tsallis entropy, and the Heun functions associated with positive linear operators.