Summation of power series by continued exponentials

DOI10.1063/1.531619zbMath0864.40001OpenAlexW2010755231MaRDI QIDQ5284846

Jade P. Vinson, Carl M. Bender

Publication date: 16 June 1997

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

Full work available at URL: https://doi.org/10.1063/1.531619

zbMATH Keywords

convergencepower seriessummationcontinued exponential

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Convergence and divergence of series and sequences of functions (40A30) Approximation to limiting values (summation of series, etc.) (40A25) Analytic continuation of functions of one complex variable (30B40)

Related Items (6)

Extrapolation from hypergeometric functions, continued functions and Borel-Leroy transformation; resummation of perturbative renormalization functions from field theories ⋮ Infinite random power towers ⋮ r D oscillators with arbitrary D>0 and perturbation expansions with Sturmians ⋮ Continued functions and perturbation series: simple tools for convergence of diverging series in \(\mathrm{O}(n)\)-symmetric \(\phi^4\) field theory at weak coupling limit ⋮ 𝓟𝓣-symmetric quantum mechanics ⋮ Continued functions and Borel–Leroy transformation: resummation of six-loop ϵ-expansions from different universality classes

Cites Work

• Iteration of exponential functions
• Iterating exponential functions with cyclic exponents
• A Note on Complex Iteration
• Towers of exponents and other composite maps
• Exponentials Reiterated
• Some entire functions with fixpoints of every order
• Infinite Exponentials
• ITERATION OF THE EXPONENTIAL FUNCTION
• Convergence of infinite exponentials

This page was built for publication: Summation of power series by continued exponentials