Neranga Fernando

activity

20122026

most citedRing Theoretic Aspects of Quandles

25 citations · 31 across the 14 of their papers we have counts for

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Showing 2016Show all

5 papers · 1 filter

math.NT2016

A Note on Permutation Binomials and Trinomials over Finite Fields

Neranga Fernando

Let $p$ be an odd prime and $e$ be a positive integer. We completely explain the permutation binomials and trinomials arising from the reversed Dickson polynomials of the $(k + 1)$ -t…

math.CO2016

Self-Reciprocal Polynomials and Coterm Polynomials

Neranga Fernando

We classify all self-reciprocal polynomials arising from reversed Dickson polynomials over $Z$ and $F_{p}$ , where $p$ is prime. As a consequence, we also obtain cot…

math.NT2016

Reversed Dickson polynomials of the (k+1)-th kind over finite fields

Neranga Fernando

We discuss the properties and the permutation behaviour of the reversed Dickson polynomials of the $(k + 1)$ -th kind $D_{n, k} (1, x)$ over finite fields. The results in this paper unif…

math.CA2016

A note on Dickson polynomials of the third kind and Legendre functions

Neranga Fernando, Solomon Manukure

In this paper, we show that the Dickson polynomials of the third kind satisfy a nonhomogeneous second order linear ordinary differential equation whose general solution contains Le…

math.NT2016★ 3 cited

Reversed Dickson Polynomials of the Third Kind

Neranga Fernando

Let $p$ be a prime and $q = p^{e}$ . We discuss the properties of the reversed Dickson polynomial $D_{n, 2} (1, x)$ of the third kind. We also give several necessary conditions for the rev…