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Vito Lampret – One of the best experts on this subject based on the ideXlab platform.

  • a simple Asymptotic Estimate of wallis ratio using stirling s factorial formula
    Bulletin of the Malaysian Mathematical Sciences Society, 2019
    Co-Authors: Vito Lampret

    Abstract:

    Several new, accurate, simple, Asymptotic Estimates of Wallis’ ratio $$w_n:=\prod \nolimits _{k=1}^{n} \frac{2k-1}{2k}$$
    are obtained on the bare the Bernoulli coefasis of Stirling’s factorial approximation formula. Some Asymptotic Estimates of $$\pi $$
    in terms of Wallis’ ratios $$w_n$$
    are also presented.

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  • A Simple Asymptotic Estimate of Wallis’ Ratio Using Stirling’s Factorial Formula
    Bulletin of the Malaysian Mathematical Sciences Society, 2018
    Co-Authors: Vito Lampret

    Abstract:

    Several new, accurate, simple, Asymptotic Estimates of Wallis’ ratio $$w_n:=\prod \nolimits _{k=1}^{n} \frac{2k-1}{2k}$$
    are obtained on the bare the Bernoulli coefasis of Stirling’s factorial approximation formula. Some Asymptotic Estimates of $$\pi $$
    in terms of Wallis’ ratios $$w_n$$
    are also presented.

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Geoffrey B. West – One of the best experts on this subject based on the ideXlab platform.

  • Reply to Comments on “Asymptotic Estimate of the {\it n}-Loop QCD Contribution to the Total $e^{+}e^{-}$ Annihilation Cross Section”
    arXiv: High Energy Physics – Phenomenology, 1992
    Co-Authors: Geoffrey B. West

    Abstract:

    Reply to Comments on “Asymptotic Estimate of the {\it n}-Loop QCD Contribution to the Total $e^{+}e^{-}$ Annihilation Cross Section”

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  • Asymptotic Estimate of the n loop qcd contribution to the total e e annihilation cross section
    Physical Review Letters, 1991
    Co-Authors: Geoffrey B. West

    Abstract:

    A technique for estimating the large-order QCD perturbative contributions to the total {ital e}{sup +}{ital e{minus}} total cross section is presented which is based upon the renormalization group and momentum analyticity. Our Estimate for the coefficient of ({alpha}{sub {ital s}}/{pi}){sup 3} has recently been confirmed by two exact calculations. We find that the effective expansion parameter is, in fact, not {alpha}{sub {ital s}}/{pi} but rather 4{pi}{sup 2}{ital eb}{sub 1}({alpha}{sub {ital s}}/{pi}), where {ital b}{sub 1} is the first coefficient in the expansion of the {beta} function.

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Simone Garatti – One of the best experts on this subject based on the ideXlab platform.

  • A counterexample to the uniqueness of the Asymptotic Estimate in ARMAX model identification via the correlation approach
    Systems & Control Letters, 2014
    Co-Authors: Simone Garatti

    Abstract:

    Abstract This paper deals with the identifiability of an ARMAX system when the correlation approach is adopted. In general, identifiability depends on both the parametrization of the model class and on the informativeness of the data. Here, we focus on the latter aspect and, therefore, a full-order model class is considered. The main goal is to provide a counterexample to the uniqueness of the Asymptotic Estimate when a persistently exciting input is adopted. This shows the somehow counterintuitive fact that the identifiability of ARMAX systems within the correlation approach is related to the “color” of the input.

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