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RestrictedPartitionFunctions
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| Organization: | Hochschule Mittweida |
| Department: | FB Mathematik/Physik/Informatik |
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2004-04-08
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The package RestrictedPartitionFunctions provides functions for caculating the number of partitions of n in parts from cns. The function PartitionData[cns] returns parameter sets needed by the counting functions: Denumerant, rahamDenumerant and NewtonDenumerant. Also, the package contains the data processing and counting functions: RubinsteinData, SertoezData, EulerDenumerant and MatrixPowerDenumerant, the last two based on recurrence ideas. Finally, there are three partial fraction decomposition functions: PartialApart, PartialApartPade and TotalApart.
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restricted partition function, denumerant, change money problem, combinatorics, ordinary generating functions, Laurent series expansions, inverse discrete Fourier transformation, sawtooth and prime sawtooth functions, Moebius inversion, circulators and prime circulators, one-and multi-dimensional periodic numbers, Graham/Knuth/Patashnik formula, Newton interpolation, quasi-polynomials
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| RestrictedPartitionFunctions.m (36 KB) - Mathematica Package [for Mathematica 5.0] | | RestrictedPartitionFunctions.nb (55.8 KB) - Mathematica Notebook [for Mathematica 5.0] |
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