Uα,β = Vα,β +Wα,β | u(x,y) = v(x,y)w(x,y) |
Uα,β = λVα,β | u(x,y) = λv(x,y) |
[U_{\alpha ,\beta } (k,h) = \sum\nolimits_{r = 0}^k \sum\nolimits_{s = 0}^h V_{\alpha ,\beta } (r,h - s)W_{\alpha ,\beta } (k - r,s) | u(x,y) = v(x,y)w(x,y) |
[U_{\alpha ,\beta } (k,h) = \delta (k - n)\delta (h - m) = \{ \begin{array}{*{20}c} {1,k = n,h = m} \\ {0,k \ne n,h \ne m} \\ {} \\\end{array} | u(x,y) = (x − x0)mα (y − y0)nβ |
[U_{\alpha ,\beta } (k,h) = \frac{{\Gamma (\alpha (k + 1) + 1)}}{{\Gamma (\alpha k + 1)}}V_{\alpha ,\beta } (k + 1,h)Vα,β(k+ 1, h) | [u(x,y) = D_{x_0 }^\alpha v(x,y) |
[U_{\alpha ,\beta } (k,h) = \frac{{\Gamma (\beta (h + 1) + 1)}}{{\Gamma (\beta h + 1)}}V_{\alpha ,\beta } (k,h + 1)Vα,β(k,h+ 1) | [u(x,y) = D_{y_0 }^\beta v(x,y) |
[U_{\alpha ,\beta } (k,h) = \frac{{\Gamma (\alpha (k + 1) + 1)}}{{\Gamma (\alpha k + 1)}}\frac{{\Gamma (\beta (h + 1) + 1)}}{{\Gamma (\beta h + 1)}}
. Vα,β(k+ 1, h+ 1), 0< α,β ≤ 1 | [u(x,y) = D_{x_0 }^\alpha D_{y_0 }^\beta v(x,y) |