Borel Summability and Converging Factors for Some Everywhere Divergent Series

DOI10.1137/0517085zbMath0639.40001OpenAlexW2091745495MaRDI QIDQ3781519

Avram Sidi

Publication date: 1986

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/2e8d1bc11454309b480ab267b48a389da20af2c5

zbMATH Keywords

asymptotic expansionformal power seriesBorel summabilityconverging factor

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Extrapolation to the limit, deferred corrections (65B05) Singular perturbations for ordinary differential equations (34E15) Abel, Borel and power series methods (40G10) Asymptotic expansions of solutions to ordinary differential equations (34E05) Convergence factors and summability factors (40D15)

Related Items (3)

Rational approximations for the modified Bessel function of the second kind ⋮ Convergence acceleration via combined nonlinear-condensation transformations ⋮ The summation of the ordinary and renormalized perturbation series for the ground state energy of the quartic, sextic, and octic anharmonic oscillators using nonlinear sequence transformations

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