论文标题
通过差分运算符的两变量正交多项式的新混合复发关系
New mixed recurrence relations of two-variable orthogonal polynomials via differential operators
论文作者
论文摘要
在本文中，我们通过两个不同的差分运算符$ endial oterator $ endialial operator $ endial operator $ endial operator $ξ= \ left（\ frac {\ partial} {\ partial z} +frac {\ partial z} +frac { } {\ partial w} \ right）$和$δ= \ left（\ frac {1} {w} {w} \ frac {\ partial} {\ partial z} +partial z} +\ frac {1} {z} {z} {z} \ frac {\ frac {\ partial} {\ partial} {\ part part p right）我们还得出了一些主要结果的特殊情况。
In this paper, we derive new recurrence relations for two-variable orthogonal polynomials for example Jacobi polynomial, Bateman's polynomial and Legendre polynomial via two different differential operators $Ξ=\left(\frac{\partial }{\partial z} +\sqrt{w} \frac{\partial }{\partial w} \right)$ and $Δ=\left(\frac{1}{w} \frac{\partial }{\partial z} +\frac{1}{z} \frac{\partial }{\partial w} \right)$. We also derive some special cases of our main results.
