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values of negative m on the list! The following relation in the article defines associated Legendre functions for positive and negative m: P ℓ ( m )...

Is it appropriate to add the completeness relation to this article? ∑ n = 0 ∞ 2 n + 1 2 P n ( x ) P n ( y ) = δ ( x − y ) {\displaystyle \sum _{n=0}^{\infty...

complex unit circle) that involves the Legendre transform, I heard about it but never found a reference where the relation is stated clearly. Does anybody know...

at end) the relation between Legendre and Jacobi symbols has been expanded the computer programs have been desk-checked removed Legendre symbol calculation...

return 'bgcolor=#ffe0e0' # computes Legendre symbol (a/q) # assumes a and q positive, q prime, (a, q) = 1 def legendre(a, q): for n in range(1, q-1): if...

as the real commutative algebra generated by a,b and c subject to the relation a2+b2+c2-1=0 or the C* interpretation as the C* algebra generated by the...

himself, Legendre rids himself of his rival Beaumont by weakening him with poison. Parker and his missionary friend Dr. Bruner are led to Legendre's castle...

from Legendre's power. The zombie master, his zombie slaves, and Beaumont fall to their deaths from the castle parapet. Bela Lugosi as Murder Legendre, a...

of a bar bet. "Hey, everybody, this guy claims that all solutions to Legendre's equation are orthogonal. I say he should prove it or buy everyone a drink...

was interested only in positive values of x. So, it must be checked in Legendre's work whether he defined his function for negative x, and if he did, which...

(talk) 09:44, 18 April 2008 (UTC) I don't think Legendre functions should appear in this section. Legendre functions are Gauss hypergeometric functions,...

better moved to the talk page. -- Fropuff 06:27, 2004 Feb 24 (UTC) The relation between symplectic geometry and Hamiltonian mechanics should explained...

And leaving it to the spherical harmonics article to explain the relation with Legendre polynomials. TimothyRias (talk) 08:47, 15 March 2010 (UTC) Thank...

The other values for E are correct however. Given the Legendre relation one readily computes the correct expression for E(1/4*(sqrt(6)-sqrt(2)))...

ChrisChiasson 16:32, 3 November 2007 (UTC) --- The derivation of the Gibbs-Duhem relation in this article relies on a crucial fact about the Gibbs free energy, and...

correct recurrence relation for the Gamma function is Γ(z + 1) = z * Γ(z), as you accurately pointed out, referencing Legendre's work. If Gemini's topological...

used is a simpler one, typically the Fourier basis or the Chebyshev or Legendre polynomials (for nonperiodic cases). The math stays relatively simple with...

than what is suggested here; see for example Minimal Variance and its Relation to Efficient Moment Tests; I am simply questioning the line of reasoning...