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1998•Journal of the Japanese Society of Computational StatisticsOpen access

ON THE NUMERICAL COMPUTATION OF CONFLUENT HYPERGEOMETRIC FUNCTION WITH ZONAL POLYNOMIALS OF ORDER 3

Takakazu Sugiyama, Yuuichi Takeda, Masafumi Fukuda

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Abstract

Recurrence relations of the coefficients are obtained of the generalized hypergeometric function for the argument of order 3. The numerical computation of a distribution function is shown. The Fortran program is available to compute the distribution expressed by the generalized hypergeometric function.

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Recurrence relations of the coefficients are obtained of the generalized hypergeometric function for the argument of order 3. The numerical computation of a distribution function is shown. The Fortran program is available to compute the distribution expressed by the generalized hypergeometric function.

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Available abstract

Recurrence relations of the coefficients are obtained of the generalized hypergeometric function for the argument of order 3. The numerical computation of a distribution function is shown. The Fortran program is available to compute the distribution expressed by the generalized hypergeometric function.

Key concepts: Generalized hypergeometric function, Hypergeometric function of a matrix argument, Confluent hypergeometric function, Hypergeometric function, Mathematics, Basic hypergeometric series, Hypergeometric identity, Computation

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