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4 papers · 2 filters
The -point anomaly in view of the seven-loop Hypergeometric resummation for the critical exponent of the model
Abouzeid M. Shalaby
In this work, we use a specific parameterization of the hypergeometric approximants ( the one by Mera et.al in Phys. Rev. Let. 115, 143001 (2015)) to approximate the seven-loop cri…
Critical Exponents of the O(N)-symmetric Model from the \boldmath{\large{ }} Hypergeometric-Meijer Resummation
Abouzeid M. Shalaby
We extract the -expansion from the recently obtained seven-loop -expansion for the renormalization group functions of the -symmetric model. The different seri…
Precise Critical Exponents of the O(N)-Symmetric Quantum field Model using Hypergeometric-Meijer Resummation
Abouzeid M. Shalaby
In this work, we show that one can select different types of Hypergeometric approximants for the resummation of divergent series with different large-order growth factors. Being of…
Weak-Coupling, Strong-Coupling and Large-Order Parametrization of the Hypergeometric-Meijer Approximants
Abouzeid M. Shalaby
Without Borel or Pad techniques, we show that for a divergent series with large-order growth factor, the set of Hypergeometric series represents sui…