Zeitschrift für Analysis und ihre Anwendungen
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Published online: 2000-12-31
Some Properties of Legendre Functions and Related ApplicationsChie-Ping Chu (1) Soochow University, Taipei, Taiwan
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 $S^2$.
Keywords: Peak and shape of Legendre functions, monotonicity and estimates of eigenvalues
Chu Chie-Ping: Some Properties of Legendre Functions and Related Applications. Z. Anal. Anwend. 19 (2000), 1075-1086. doi: 10.4171/ZAA/999