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LREtools[HypergeometricTerm][SubstituteTerm] - return solution with a directly substituted hypergeometric term instead of a name representing it in the solution
Calling Sequence
SubstituteTerm(sol, term, n)
Parameters
sol
-
rational function in n and a name representing a hypergeometric term
term
hypergeometric term
n
independent variable
Description
The SubstituteTerm(sol, term, n) returns the solution with a directly substituted hypergeometric term instead of a name representing it in the solution.
The hypergeometric term in the linear difference equation is specified by a name, for example, t. The meaning of the term is defined by the parameter term. The term is specified as a list consisting of the name of the term variable and the consecutive term ratio, for example, .
The solution is the function, corresponding to n. The solution involves arbitrary constants of the form, for example, _c1 and _c2.
Examples
See Also
LREtools[HypergeometricTerm], LREtools[HypergeometricTerm][PolynomialSolution], LREtools[HypergeometricTerm][RationalSolution]
References
Bronstein, M. "On solutions of Linear Ordinary Difference Equations in their Coefficients Field." INRIA Research Report. No. 3797. November 1999.
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