On a class of integrals of Legendre polynomials with complicated arguments--with applications in electrostatics and biomolecular modeling.
The exact analytical result for a class of integrals involving (associated) Legendre polynomials of complicated argument is presented. The method employed can in principle be generalized to integrals involving other special functions. This class of integrals also proves useful in the electrostatic problems in which dielectric spheres are involved, which is of importance in modeling the dynamics of biological macromolecules. In fact, with this solution, a more robust foundation is laid for the Generalized Born method in modeling the dynamics of biomolecules.
Yu
Yi-Kuo
YK
National Center for Biotechnology Information, National Library of Medicine, National Institutes of Health, Bethesda, MD 20894, USA. yyu@ncbi.nlm.nih.gov
D003198:Computer Simulation; D046911:Macromolecular Substances; D008433:Mathematics; D008958:Models, Molecular; D008962:Models, Theoretical; D055672:Static Electricity
D046911:Macromolecular Substances