Entire hypergeometric approximants for the ground state energy perturbation series of the quartic, sextic and octic anharmonic oscillators

DOI10.1016/j.aop.2023.169427OpenAlexW4385076821MaRDI QIDQ6074350

Abouzeid M. Shalaby, Hamdi M. Abd-El-Hamid, I. S. Elkamash

Publication date: 12 October 2023

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aop.2023.169427

zbMATH Keywords

divergent seriesstrong coupling behaviorlarge-order behaviorhypergeometric algorithim

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Convergence and divergence of series and sequences (40A05) Continuation of analytic objects in several complex variables (32D15) Perturbation theories for operators and differential equations in quantum theory (81Q15) Applications of hypergeometric functions (33C90) Numerical summation of series (65B10) Hasse principle, weak and strong approximation, Brauer-Manin obstruction (14G12)

Cites Work

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