Representations for parameter derivatives of some Koornwinder polynomials in two variables | ||||
| Journal of the Egyptian Mathematical Society | ||||
| Volume 24, Issue 4, 2016, Page 555-561 PDF (363.75 K) | ||||
| DOI: 10.1016/j.joems.2016.01.004 | ||||
 View on SCiNiTO | ||||
| Author | ||||
| Rabia Akta ¸ | ||||
| Department of Mathematics, Ankara University, Ankara, Turkey | ||||
| Abstract | ||||
| In this paper, we give the parameter derivative representations in the form of ∂P n,k (λ; x, y ) ∂λ = n −1 m =0 m j=0 d n, j,m P m, j (λ; x, y ) + k j=0 e n, j,k P n, j (λ; x, y ) for some Koornwinder polynomials where λ is a parameter and 0 ≤ k ≤ n ; n = 0 , 1 , 2 , . . . and present orthogonality properties of the parametric derivatives of these polynomials. | ||||
| Keywords | ||||
| Orthogonal polynomials; Jacobi polynomials; Laguerre polynomials; Koornwinder polynomi- als; Parameter derivatives | ||||
|
Statistics Article View: 18 PDF Download: 9 |
||||
