F(t)=∫(\frac{1}{\sqrt{1-s^2}}(\frac{\phi(s)}{t-s})ds
(integrals are from -1 to +1)
this equation may be solved by the Gauss-Chebyshev integration formulae:
assume that Phi(s) can be appoximated by the fallowing truncated series:
\phi(s) = Ʃ^{m}_{j=1} a_{j} T_{j}(s)
so that the...
F(t)=\int_ \! (\frac{1}{\sqrt{1-s^{2} } } \frac{Phi(s)}{t-s} ) \, ds
(integrals are from -1 to +1)
this equation may be solved by the Gauss-Chebyshev integration formulae:
assume that Phi(s) can be appoximated by the fallowing truncated series:
Phi(s)= \sum\limits_{j=1}^m a_{j}T_{j}(s)...