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Legendre Polynomials and Functions
a unit mass situated at the point A is given by φ = C R where C is some constant. It can be shown that this function is a solution of Laplace’s equation.!In some circumstances, it is desirable to expand φ in powers of r or r−1 where r = x 2+y +z is the distance from the origin O to the point P. OA OB AP x y z A(x,y,z) B(x,y,z) a R r O
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Error and Complementary Error Functions
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www.mhtlab.uwaterloo.catheory of numbers, algebra, geometry, linear and non-linear ordinary and partial differential equations, dynamics, mechanics, electrostatics, conduction and field theory. An elliptic integral is any integral of the general form f(x)= A(x)+B(x) C(x)+D(x)! S(x) dx where A(x),B(x),C(x) and D(x) are polynomials in x and S(x) is a polynomial of ...
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