Modern computer algebra systems provide means for exact experimental calculations (including manipulations of formulas) that enable one to obtain a solution of a problem under examination for certain not very large initial data. The results can provide a basis for a conjecture concerning the general solution of the problem. A computer algebra system can also be helpful in verifying the conjecture.
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Abramov S.A.(1999)Integration of Solutions of Linear Functional Equations Integral Transformations Special Functions 8 3-12