Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4645899 | Applied Numerical Mathematics | 2009 | 6 Pages |
Abstract
We prove that the zeros of polynomials of consecutive degree in the sequences {rn}n=1â and {sn}n=1â are interlacing for nâN, n⩾1 wherern=pn+anqn,sn=pn+bnqnâ1,an,bnâ 0,an,bnâR and {pn}n=1â and {qn}n=1â are different sequences of Laguerre (respectively Jacobi) polynomials.
Related Topics
Physical Sciences and Engineering
Mathematics
Computational Mathematics
Authors
Kathy Driver, Kerstin Jordaan, Norbert Mbuyi,