On a Class of Polynomials with Integer Coefficients
| dc.creator | Janjic, Milan | |
| dc.date | 2008-04-12 | |
| dc.date.accessioned | 2026-07-07T09:32:07Z | |
| dc.date.available | 2026-07-07T09:32:07Z | |
| dc.description | A class P_{n,m,p}(x) of polynomials is defined. The combinatorial meaning of its coefficients is given. Chebyshev polynomials are the special cases of P_{n,m,p}(x). It is first shown that P_{n,m,p}(x) may be expressed in terms of P_{n,0,p}(x). From this we derive that P_{n,2,2}(x) may be obtain in terms of trigonometric functions, from which we obtain some of its important properties. Some questions about orthogonality are also concerned. Furthermore, it is shown that P_{n,2,2}(x) fulfills the same three terms recurrence as Chebyshev polynomials. Some others recurrences for P_{n,m,p}(x) and its coefficients are also obtained. At the end a formula for coefficients of Chebyshev polynomials of the second kind is derived. | |
| dc.identifier | https://arxiv.org/abs/0804.2018 | |
| dc.identifier | http://arxiv.org/abs/0804.2018 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/158700 | |
| dc.subject | Complex Variables | |
| dc.title | On a Class of Polynomials with Integer Coefficients | |
| dc.type | text |