HYPERG: a Maple package for manipulating hypergeometric series.
Gauthier, Bruno (1999)
Séminaire Lotharingien de Combinatoire [electronic only]
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Displaying similar documents to “HYP and HYPQ. Mathematica packages for the manipulation of binomial sums and hypergeometric series respectively -binomial sums and basic hypergeometric series.”
HYPERG: a Maple package for manipulating hypergeometric series.
On the Generalized Confluent Hypergeometric Function and Its Application
Virchenko, Nina (2006)
Fractional Calculus and Applied Analysis
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2000 Mathematics Subject Classification: 26A33, 33C20 This paper is devoted to further development of important case of Wright’s hypergeometric function and its applications to the generalization of Γ-, B-, ψ-, ζ-, Volterra functions.
Creative Telescoping for Parametrised Integration and Summation
Frédéric Chyzak (2011)
Les cours du CIRM
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Hypergeometric -functions of the -Painlevé system of type .
Masuda, Tetsu (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Double and triple summation expressions obtained using perturbation theory.
Mavromatis, Harry A. (2000)
International Journal of Mathematics and Mathematical Sciences
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A particular solution of a Painlevé system in terms of the hypergeometric function .
Suzuki, Takao (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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A curious property of series involving terms of generalized sequences.
Brugia, Odoardo, Filipponi, Piero (2000)
International Journal of Mathematics and Mathematical Sciences
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Explicit plethystic formulas for Macdonald -Kostka coefficients.
Garsia, Adriano, Haiman, Mark, Tesler, Glenn (1999)
Séminaire Lotharingien de Combinatoire [electronic only]
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An arithmetic formula of Liouville
Erin McAfee, Kenneth S. Williams (2006)
Journal de Théorie des Nombres de Bordeaux
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An elementary proof is given of an arithmetic formula, which was stated but not proved by Liouville. An application of this formula yields a formula for the number of representations of a positive integer as the sum of twelve triangular numbers.