有关雅可比多项式一些性质的研究  

Studies About Some Properties of Jacobi Polynomials

作　　者：孙慧娟[1] 赵小香[1] 

机构地区：[1]广西师范大学数学科学学院,桂林541004

出　　处：《四川理工学院学报（自然科学版）》2009年第6期37-41,共5页Journal of Sichuan University of Science & Engineering(Natural Science Edition)

基　　金：广西研究生教育创新项目(2009106020701M31)

摘　　要：雅可比多项式及其特例都是重要的正交多项式,它们在求解数学物理方程中有重要应用。文章总结了雅可比多项式的一些生成函数和递推关系,并给出了相应的证明。这些将有助于进一步研究雅可比多项式及其特例的其它性质,解决数学物理中的一些实际问题。Jacobi polynomials and its special forms are all fundamental orthogonal polynomials, these polynomial all have important application in the mathematics-physics question. This paper concluded some generating functions and recurrence relations of Jacobi polynomials and gived the correrponding proof. It are helpful to reasearch other special characters of the Jacobi polynomials and its special forms. It can also be useful in the solution of mathematics-physics questions.

关 键 词：雅可比多项式 生成函数 超几何级数 递推关系 

分 类 号：O156[理学—数学]