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On a class of integrals of Legendre polynomials with complicated arguments—with applications in electrostatics and biomolecular modeling

✍ Scribed by Yi-Kuo Yu

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
163 KB
Volume
326
Category
Article
ISSN
0378-4371

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✦ Synopsis

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.

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