On conjectures by Csordas, Charalambides and Waleffe
On conjectures by Csordas, Charalambides and Waleffe
In the present note we obtain new results on two conjectures by Csordas et al. regarding the interlacing property of zeros of special polynomials. These polynomials came from the Jacobi tau methods for the Sturm-Liouville eigenvalue problem. Their coefficients are the successive even derivatives of the Jacobi polynomials $P_n(x;\alpha,\beta)$ evaluated …