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LREtools[HypergeometricTerm][UniversalDenominator] - return the universal denominator of the rational solutions for a difference equation depending on a hypergeometric term
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Calling Sequence
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UniversalDenominator(eq, var, term)
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Parameters
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eq
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linear difference equation depending on a hypergeometric term
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var
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function variable for which to solve, for example, z(n)
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term
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hypergeometric term
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Description
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The PolynomialSolution(eq, var, term) command returns the universal denominator of the rational solution of the linear difference equation eq.
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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. It can be specified directly in the form of an equation, for example,  , or specified as a list consisting of the name of the term variable and the consecutive term ratio, for example, ![[t, n+1]](/support/helpjp/helpview.aspx?si=6374/file06034/math73.png) .
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Examples
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![with(LREtools[HypergeometricTerm])](/support/helpjp/helpview.aspx?si=6374/file06034/math115.png)
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References
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Abramov, S.A., and Bronstein, M. "Hypergeometric dispersion and the orbit problem." Proc. ISSAC 2000.
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Bronstein, M. "On solutions of Linear Ordinary Difference Equations in their Coefficients Field." INRIA Research Report. No. 3797. November 1999.
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Download Help Document
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