New bounds for Hahn and Krawichouk polynomials

Details New bounds for Hahn and Krawichouk polynomials New bounds for Hahn and Krawichouk polynomials

1994-06-07

arxiv.org/abs/math/9406223v1

Mathematics

Classical Analysis and ODEs

Scientific paper

For the Hahn and Krawtchouk polynomials orthogonal on the set $\{0, \ldots,N\}$ new identities for the sum of squares are derived which generalize the trigonometric identity for the Chebyshev polynomials of the first and second kind. These results are applied in order to obtain conditions (on the degree of the polynomials) such that the polynomials are bounded (on the interval $[0,N]$) by their values at the points $0$ and $N$. As special cases we obtain a discrete analogue of the trigonometric identity and bounds for the discrete Chebyshev polynomials of the first and second kind.

Affiliated with

Also associated with

No associations

Rating

New bounds for Hahn and Krawichouk polynomials does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with New bounds for Hahn and Krawichouk polynomials, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and New bounds for Hahn and Krawichouk polynomials will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-421569