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Eckhard Manthei
Organization: Hochschule Mittweida
Department: FB Mathematik/Physik/Informatik
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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.

*Mathematics > Discrete Mathematics > Combinatorics

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]