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Published September 20, 2017 | Version 1.0.0
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Boy's Function Computed by Gauss-Jacobi Quadrature

  • 1. Max-Planck Institute of Astronomy

Description

Boy's Function F_m(z) that appears in the quantum mechanics of Gaussian Type Orbitals is
a special case of Kummer's confluent hypergeometric function. We evaluate its integral representation
of a product of a power and an exponential function over the unit interval
with the numerical Gauss-Jacobi quadrature. We provide an implementation in C for real values
of the argument z which basically employs a table of the weights and abscissae of the
quadrature rule for integer quantum numbers m<= 129.

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Preprint: http://vixra.org/abs/1709.0304 (URL)

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