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Assoc_legendre_p

Function: assoc_legendre_p (<n>, <m>, <x>) The associated Legendre function of the first kind of degree <n> and order <m>.

Reference: Abramowitz and Stegun, equations 22.5.37, page 779, 8.6.6 (second equation), page 334, and 8.2.5, page 333.

(%o1)                                true
(%i2) 

Related Examples

assoc_legendre_p-legendre_p

x:assoc_legendre_p(5,...

Calculate

assoc_legendre_p-assoc_legendre_q-diff-legendre_p-legendre_q

f(x):= ((x*x-1)^(-0/2...

f(-%i);

f1(x):=''(diff(f(x),x));

Calculate

assoc_legendre_p-assoc_legendre_q-diff-legendre_p-legendre_q

f(x):= ((x*x-1)^(-0/2...

f(-%i);

f1(x):=''(diff(f(x),x));

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legendre_p

legendre_p(3, 0.89);

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assoc_legendre_p-diff-legendre_p

z:assoc_legendre_p(5,...

k:diff(assoc_legendre...

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legendre_p

legendre_p(3,x);

Calculate

assoc_legendre_p-assoc_legendre_q-diff-legendre_p-legendre_q

f(x):= ((x*x-1)^(-0/2...

f1(x):=''(diff(f(x),x));

f1(0);

Calculate

assoc_legendre_p-diff-legendre_p

z([x]):= assoc_legend...

z(0);

k([x]):=diff(assoc_le...

Calculate

assoc_legendre_p-diff-legendre_p

z([x]):= assoc_legend...

z(0);

k([x]):=diff(assoc_le...

Calculate

legendre_p

legendre_p(3, x);

Calculate