The classical orthogonal polynomials are given as the polynomial solutions p"n(x) of the differential equation@s(x)y''(x)+@t(x)y^'(x)+@l"ny(x)=0,where @s(x) is a polynomial of at most second degree and @t(x) is a polynomial of first degree. In this ...
The purpose of this study is to give a Taylor polynomial approximation for the solution of hyperbolic type partial differential equations with constant coefficients. The technique used is an improved Taylor matrix method, which has been given for ...
There exist sound literature and algorithms for computing Liouvillian solutions for the important problem of linear ODEs with rational coefficients. Taking as sample the 363 second order equations of that type found in Kamke's book, for instance, 51% of ...
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