Representations for parameter derivatives of some Koornwinder polynomials in two variables | ||
| Journal of the Egyptian Mathematical Society | ||
| Volume 24, Issue 4, 2016, Pages 555-561 PDF (363.75 K) | ||
| DOI: 10.1016/j.joems.2016.01.004 | ||
| 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 | ||
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