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Padé Approximation to the Logarithmic Derivative of the Gauss Hypergeometric Function

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Analytic Number Theory

Part of the book series: Developments in Mathematics ((DEVM,volume 6))

Abstract

We construct explicitly (n, n−1)-Padé approximation to the logarithmic derivative of Gauss hypergeometric function for arbitrary parameters by the simple combinatorial method used by Maier and Chudnovsky.

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References

  1. G. V. Chudnovsky, Padé approximations to the generalized hyper-geometric functions. I, J. Math. Pure et Appl., 58 (1979), 445–476.

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© 2002 Springer Science+Business Media Dordrecht

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Hata, M., Huttner, M. (2002). Padé Approximation to the Logarithmic Derivative of the Gauss Hypergeometric Function. In: Jia, C., Matsumoto, K. (eds) Analytic Number Theory. Developments in Mathematics, vol 6. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-3621-2_10

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  • DOI: https://doi.org/10.1007/978-1-4757-3621-2_10

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4419-5214-1

  • Online ISBN: 978-1-4757-3621-2

  • eBook Packages: Springer Book Archive

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