dc.contributor.author |
Dominici, Diego
|
|
dc.contributor.author |
Driver, Kathy (Cathryn Helena Stanford)
|
|
dc.contributor.author |
Jordaan, Kerstin Heidrun
|
|
dc.date.accessioned |
2009-09-17T07:54:44Z |
|
dc.date.available |
2009-09-17T07:54:44Z |
|
dc.date.issued |
2011-01 |
|
dc.description.abstract |
We investigate the zeros of polynomial solutions to the differential–difference equation Pn+1 = AnP’n + BnPn, n = 0,1,… where An and Bn are polynomials of degree at most 2 and 1 respectively. We address the question of when the zeros are real and simple and whether the zeros of polynomials of adjacent degree are interlacing. Our result holds for general classes of polynomials including sequences of classical orthogonal polynomials as well as Euler–Frobenius, Bell and other polynomials. |
en_US |
dc.identifier.citation |
D. Dominici, et al., Polynomial solutions of differential–difference equations, Journal of Approximation Theory, Vol. 163, no. 1, pp. 41-48(2011), doi:10.1016/j.jat.2009.05.010 |
en_US |
dc.identifier.issn |
0021-9045 |
|
dc.identifier.other |
10.1016/j.jat.2009.05.010 |
|
dc.identifier.uri |
http://hdl.handle.net/2263/11302 |
|
dc.language.iso |
en |
en_US |
dc.publisher |
Elsevier |
en_US |
dc.rights |
Elsevier |
en_US |
dc.subject |
Interlacing of zeros |
en |
dc.subject |
Zeros |
en |
dc.subject |
Euler-Frobenius polynomials |
en |
dc.subject |
Bell polynomials |
en |
dc.subject.lcsh |
Polynomials |
en |
dc.subject.lcsh |
Differential-difference equations |
en |
dc.subject.lcsh |
Orthogonal polynomials |
en |
dc.subject.lcsh |
Euler polynomials |
en |
dc.title |
Polynomial solutions of differential–difference equations |
en_US |
dc.type |
Postprint Article |
en_US |