Title
Bounds for the zeros of symmetric kravchuk polynomials
Abstract
Sharp bounds for the zeros of symmetric Kravchuk polynomials Kn(x;M) are obtained. The results provide a precise quantitative meaning of the fact that Kravchuk polynomials converge uniformly to Hermite polynomials, as M tends to infinity. They show also how close the corresponding zeros of two polynomials from these sequences of classical orthogonal polynomials are.
Year
DOI
Venue
2015
10.1007/s11075-014-9916-y
Numerical Algorithms
Keywords
Field
DocType
Orthogonal polynomials of a discrete variable,Symmetric Kravchuk polynomials,Hermite polynomials,Limit relation,Zeros,MSC 33C45,MSC 26C10
Wilson polynomials,Combinatorics,Classical orthogonal polynomials,Orthogonal polynomials,Mathematical analysis,Discrete orthogonal polynomials,Gegenbauer polynomials,Hahn polynomials,Mathematics,Kravchuk polynomials,Difference polynomials
Journal
Volume
Issue
ISSN
69
3
1017-1398
Citations 
PageRank 
References 
0
0.34
6
Authors
4
Name
Order
Citations
PageRank
Iván Area1235.48
Dimitar Dimitrov237649.21
Eduardo Godoy3186.92
Vanessa G. Paschoa421.45