论文标题
双重Chebyshev系列：派生和评估
A Double Chebyshev Series: Derivation And Evaluation
论文作者
论文摘要
在本文中，我们使用轮廓积分方法以双重系列的形式得出生成函数，涉及两个Chebyshev多项式的乘积，而不是根据不完整的伽马函数表示的通用独立指数。生成函数代表相对于当前文献的更广泛的形式。讨论了该函数在求解部分微分方程中的可能应用，并得出了该生成功能的一些特殊情况。相对于以前的方法，与以前的方法相比，计算该生成函数的工作更容易，因为我们具有封闭的形式解决方案，而不是数值方法。
In this paper we use a contour integral method to derive a generating function in the form of a double series involving the product of two Chebyshev polynomials over generalized independent indices expressed in terms of the incomplete gamma function. The generating function represents a more generalized form relative to current literature. A possible application of this function to solving partial differential equations is discussed and some special cases of this generating function are derived. The work involved in the computation of this generating function is easier relative to previous methods as we have a closed form solution as opposed to numerical methods.
