Abstract | ||
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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 Area | 1 | 23 | 5.48 |
Dimitar Dimitrov | 2 | 376 | 49.21 |
Eduardo Godoy | 3 | 18 | 6.92 |
Vanessa G. Paschoa | 4 | 2 | 1.45 |