Search results for "Confluent hypergeometric function"

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Simple connections between generalized hypergeometric series and dilogarithms

1997

AbstractConnections between generalized hypergeometric series and dilogarithms are investigated. Some simple relations of an Appell's function and dilogarithms are found.

Appell functionDilogarithmBasic hypergeometric seriesConfluent hypergeometric functionAppell seriesBilateral hypergeometric seriesApplied MathematicsMathematics::Classical Analysis and ODEsGeneralized hypergeometric functionMathematics::Geometric TopologyHypergeometric seriesAlgebraHigh Energy Physics::TheoryComputational MathematicsHypergeometric identityMathematics::K-Theory and HomologyMathematics::Quantum AlgebraLauricella hypergeometric seriesHypergeometric functionMathematicsJournal of Computational and Applied Mathematics
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A characterization of the distribution of a weighted sum of gamma variables through multiple hypergeometric functions

2008

Applying the theory on multiple hypergeometric functions, the distribution of a weighted convolution of Gamma variables is characterized through explicit forms for the probability density function, the distribution function and the moments about the origin. The main results unify some previous contributions in the literature on nite convolution of Gamma distributions. We deal with computational aspects that arise from the representations in terms of multiple hypergeometric functions, introducing a new integral representation for the fourth Lauricella function F (n) D and its con uent form (n) 2 , suitable for numerical integration; some graphics of the probability density function and distr…

Lauricella functionConfluent hypergeometric functionmultiple numerical integration.Applied MathematicsGeneralized gamma distributionMathematical analysisdouble Dirichlet averagecon uent hypergeometric functionMoment-generating functionConvolution of probability distributionsGeneralized hypergeometric functionWeighted Gamma ConvolutionDirichlet averageGeneralized integer gamma distributionApplied mathematicsSettore SECS-S/01 - StatisticaIncomplete gamma functionAnalysisInverse-gamma distributionMathematicsIntegral Transforms and Special Functions
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