Department of Mathematics, Ankara University, Ankara, Turkey
10.1016/j.joems.2016.01.004
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.
Akta ¸, R. (2016). Representations for parameter derivatives of some Koornwinder polynomials in two variables. Journal of the Egyptian Mathematical Society, 24(4), 555-561. doi: 10.1016/j.joems.2016.01.004
MLA
Rabia Akta ¸. "Representations for parameter derivatives of some Koornwinder polynomials in two variables", Journal of the Egyptian Mathematical Society, 24, 4, 2016, 555-561. doi: 10.1016/j.joems.2016.01.004
HARVARD
Akta ¸, R. (2016). 'Representations for parameter derivatives of some Koornwinder polynomials in two variables', Journal of the Egyptian Mathematical Society, 24(4), pp. 555-561. doi: 10.1016/j.joems.2016.01.004
VANCOUVER
Akta ¸, R. Representations for parameter derivatives of some Koornwinder polynomials in two variables. Journal of the Egyptian Mathematical Society, 2016; 24(4): 555-561. doi: 10.1016/j.joems.2016.01.004