Some properties of Legendre functions in an asymmetric interval (with respect to zero) with zero boundary values are obtained through variational methods. There are given some applications to the monotonicity and estimates of the first Dirichlet cigenvalue for moving bands on .
Cite this article
Chie-Ping Chu, Some Properties of Legendre Functions and Related Applications. Z. Anal. Anwend. 19 (2000), no. 4, pp. 1075–1086DOI 10.4171/ZAA/999