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Orthogonal polynomials—centroid of their zeroes
Numerical Algorithms, 2008Given and orthogonal polynomial sequence \((P_n)_n\), the centroid of the zeros of the \(n\)-th polynomial \(P_n\) is defined by \(s_n=\frac1n\sum_{k=1}^n x_{n,k}\), where \(x_{n,k}\), \(k=1,2,\dots,n\) are the roots of \(P_n\). In the present paper the author reviews some properties of the zeros and the centroid (such as inequalities, invariance with ...
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Polynomials Whose Zeros Are Powers of a Given Polynomial’s Zeros
The American Mathematical Monthly, 2022openaire +1 more source
Zeros of quasi-orthogonal q-Laguerre polynomials
Journal of Mathematical Analysis and Applications, 2022Pinaki Prasad Kar, Priyabrat Gochhayat
exaly
On the location of zeros of polynomials
1978Artykuł w: Annales Universitatis Mariae Curie-Skłodowska. Sectio A, Mathematica. Vol. 30 (1976), s. 43-48 ; streszcz. pol., ros. ; Artykuł w: Annales Universitatis Mariae Curie-Skłodowska. Sectio A, Mathematica. Vol. 30 (1976), s. 43-48 ; streszcz. pol., ros.
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Variance of real zeros of random orthogonal polynomials
Journal of Mathematical Analysis and Applications, 2021Doron Lubinsky, Igor Pritsker
exaly
ON THE DISTRIBUTION OF THE ZEROS OF A POLYNOMIAL
The Quarterly Journal of Mathematics, 1965openaire +1 more source
A Note on the Computation of All Zeros of Simple Quaternionic Polynomials
SIAM Journal on Numerical Analysis, 2010Gerhard Opfer
exaly
Asymptotic and interlacing properties of zeros of exceptional Jacobi and Laguerre polynomials
Journal of Mathematical Analysis and Applications, 2013Robert Milson +2 more
exaly
Interlacing properties of zeros of multiple orthogonal polynomials
Journal of Mathematical Analysis and Applications, 2012Walter Van Assche
exaly
On the Moduli of the Zeros of a Polynomial
The American Mathematical Monthly, 2005openaire +2 more sources