Add to ORKGThis research is an exposition of the paper Commutativity of Polynomials by Shamuel Avital and Edward Barbeau published in the College Mathematics Journal in November 1992. It aims to present necessary and sufficient conditions for commutativity of linear and some nonlinear polynomial functions. Moreover, conditions under which polynomial function of degree of at most three commute with their derivatives are given. In the process, Tchebyshev polynomials are introduced and shown to be commutative
This paper investigates certain Jacobi polynomials that involve one parameter and generalize the wel...
Recently, K. Dillcher and K. B. Stolarsky [Trans. Amer. Math. Soc. 357 (2004), 965-981] used algebra...
Chebyshev polynomials crop up in virtually every area of numerical analysis, and they hold particula...
First this paper shows several properties of commutative families. The polynomial families, which is...
AbstractWe extend some classical results on polynomial functions modpl. We prove all results in alge...
The present work addresses a problem proposed in 1854 by the Russian mathematician Pafnuty Chebyshev...
In this article, we discuss the Chebyshev Polynomial and its characteristics. The second order diffe...
In this article, we discuss the Chebyshev Polynomial and its characteristics. The second order diffe...
We obtain a property which characterizes the Chebyshev orthogonal polynomials of first, second, thir...
. In this paper we study some sufficient conditions for commutativity of a ring according to Jacobs...
In this article, using orbits of the dynamical system generated by the function F, operator represen...
AbstractBy considering a family of orthogonal polynomials generalizing the Tchebycheff polynomials o...
Two problems related to orthogonal polynomials and special functions are considered. For q greater t...
Various authors have dealt with problems relating to permutation polynomials over finite systems ([...
AbstractStarting from a sequence {Pn} of orthogonal polynomials with respect to a quasi definite or ...
This paper investigates certain Jacobi polynomials that involve one parameter and generalize the wel...
Recently, K. Dillcher and K. B. Stolarsky [Trans. Amer. Math. Soc. 357 (2004), 965-981] used algebra...
Chebyshev polynomials crop up in virtually every area of numerical analysis, and they hold particula...
First this paper shows several properties of commutative families. The polynomial families, which is...
AbstractWe extend some classical results on polynomial functions modpl. We prove all results in alge...
The present work addresses a problem proposed in 1854 by the Russian mathematician Pafnuty Chebyshev...
In this article, we discuss the Chebyshev Polynomial and its characteristics. The second order diffe...
In this article, we discuss the Chebyshev Polynomial and its characteristics. The second order diffe...
We obtain a property which characterizes the Chebyshev orthogonal polynomials of first, second, thir...
. In this paper we study some sufficient conditions for commutativity of a ring according to Jacobs...
In this article, using orbits of the dynamical system generated by the function F, operator represen...
AbstractBy considering a family of orthogonal polynomials generalizing the Tchebycheff polynomials o...
Two problems related to orthogonal polynomials and special functions are considered. For q greater t...
Various authors have dealt with problems relating to permutation polynomials over finite systems ([...
AbstractStarting from a sequence {Pn} of orthogonal polynomials with respect to a quasi definite or ...
This paper investigates certain Jacobi polynomials that involve one parameter and generalize the wel...
Recently, K. Dillcher and K. B. Stolarsky [Trans. Amer. Math. Soc. 357 (2004), 965-981] used algebra...
Chebyshev polynomials crop up in virtually every area of numerical analysis, and they hold particula...