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- Growth of Meromorphic Functions and the Newton-Padé Approximant

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  • Mohammed Harfaoui
  • Loubna Lakhmaili
  • Abdellah Mourassil

Abstract

In this paper, we have considered the generalized growth ( - order and - type) in terms of coefficient of the development given in the ( n, n )-th Newton-Padé approximant of meromorphic function. We use these results to study the relationship between the degree of convergence in capacity of interpolating functions and information on the degree of convergence of best rational approximation on a compact of (in the supremum norm). We will also show that the order of meromorphic functions puts an upper bound on the degree of convergence.

Suggested Citation

  • Mohammed Harfaoui & Loubna Lakhmaili & Abdellah Mourassil, 2019. "- Growth of Meromorphic Functions and the Newton-Padé Approximant," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2019, pages 1-6, November.
    • Handle: RePEc:hin:jijmms:5792549
    DOI: 10.1155/2019/5792549
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    References listed on IDEAS

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    1. Mohammed Harfaoui, 2010. "Generalized Order and Best Approximation of Entire Function in ð ¿ ð ‘ -Norm," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2010, pages 1-15, January.
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