Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Solutions of linear ordinary differential equations in terms of special functions
Proceedings of the 2002 international symposium on Symbolic and algebraic computation
Non-liouvillian solutions for second order Linear ODEs
ISSAC '04 Proceedings of the 2004 international symposium on Symbolic and algebraic computation
Solving differential equations in terms of bessel functions
Proceedings of the twenty-first international symposium on Symbolic and algebraic computation
Proceedings of the 2010 International Symposium on Symbolic and Algebraic Computation
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We describe a method for solving linear second order differential equations in terms of hypergeometric and other (less well known) special functions. Intended as a method for computer algebra systems, the solver described in this article uses a database of functions to construct an anstatz for the solution. A user may extend the solver by appending functions to the database. An overview of a Macsyma language implementation, with sample calculations, is given.