activity
20152022
most citedBounds for some entropies and special functions

2 citations · 8 across the 7 of their papers we have counts for

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10 papers · 1 filter

math.CA2019

Elementary hypergeometric functions, Heun functions, and moments of MKZ operators

Ana Maria Acu, Ioan Rasa

We consider some hypergeometric functions and prove that they are elementary functions. Consequently, the second order moments of Meyer-Konig and Zeller type operators are elementa…

math.CA20191 cited

Inequalities for indices of coincidence and entropies

Alexandra Maduta, Diana Otrocol, Ioan Rasa

We consider a probability distribution depending on a real parameter . As functions of , the Rényi entropy and the Tsallis entropy can be expressed in terms of the associated…

math.CA2018

A Nice Representation for a Link between Baskakov- and Szász-Mirakjan-Durrmeyer Operators and their Kantorovich Variants

Margareta Heilmann, Ioan Raşa

In this paper we consider a link between Baskakov-Durrmeyer type operators and corresponding Kantorovich type modifications of their classical variants. We prove a useful represent…

math.CA2018

Discrete Operators associated with Linking Operators

Margareta Heilmann, Fadel Nasaireh, Ioan Raşa

We associate to an integral operator a discrete one which is conceptually simpler, and study the relations between them.

math.CA20181 cited

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…

math.CA2018

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.…