Evaluate More General Integrals Involving Universal Associated Legendre Polynomials via Taylor's Theorem

作     者：G.Yaez-Navarro 孙国华 孙东升 陈昌远 董世海 

作者机构：ESFM Instituto Politécnico Nacional Edificio 9 Unidad Profesional ALM Catedrtica CONACyT CIC Instituto Politécnico NacionalUPALM New Energy and Electronic Engineering Yancheng Teachers University Laboratorio de Información Cuntica CIDETEC Instituto Politécnico Nacional Unidad Profesional ALM 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2017年第67卷第8期

页      面：177-180页

核心收录：

学科分类：07[理学] 0704[理学-天文学] 0701[理学-数学] 0702[理学-物理学] 070101[理学-基础数学] 

基　　金：Supported by 20170938-SIP-IPN Mexico 

主　　题：universal associated Legendre polynomials definite integrals parity Taylor's theorem 

摘      要：Abstract A few important integrals involving the product of two universal associated Legendre polynomials Pl＇m＇, （x）,Pk＇n＇（x）and x2a（1-x2）-p-1,xb（1± x）-p-1and xc（1-x2）-p-1（1 ± x）axe evaluated using the operator form of Taylor＇s theorem and an integral over a single universal associated Legendre polynomial. These integrals are more general since the quantum numbers are unequal, i.e.l＇ ≠ k＇ and m＇≠ n＇ .Their selection rules are a/so given. We also verify the correctness of those integral formulas numerically.