Using this equation for associated Legendre functions (and for Legendre functions when m=0) 1 d de m² sin 8- sin de Ꮎ + kᎾ = 0. sin²0 Make the change of variable x-cose and 0 = P(cose) show that

Advanced Engineering Mathematics
10th Edition
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Using this equation for associated Legendre functions (and for Legendre functions when m=0)
1 d
de
m²
sin 8-
sin de
Ꮎ + kᎾ = 0.
sin²0
Make the change of variable x-cose and
0 = P(cose)
show that
Transcribed Image Text:Using this equation for associated Legendre functions (and for Legendre functions when m=0) 1 d de m² sin 8- sin de Ꮎ + kᎾ = 0. sin²0 Make the change of variable x-cose and 0 = P(cose) show that
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