Heun functions related to entropies
Classical Analysis and ODEs
2018-01-17 v1
Abstract
We consider the indices of coincidence for the binomial, Poisson, and negative binomial distributions. They are related in a simple manner to the R\'{e}nyi entropy and Tsallis entropy. We investigate some families of Heun functions containing these indices of coincidence. For the involved Heun functions we obtain closed forms, explicit expressions, or representations in terms of hypergeometric functions.
Keywords
Cite
@article{arxiv.1801.05004,
title = {Heun functions related to entropies},
author = {Adina Barar and Gabriela Raluca Mocanu and Ioan Rasa},
journal= {arXiv preprint arXiv:1801.05004},
year = {2018}
}
Comments
Submitted to RACSAM Series A