Notes on Euler's work on divergent factorial series and their associated continued fractions

DOI10.1007/s13226-010-0019-8zbMath1203.11023OpenAlexW2002855031MaRDI QIDQ981851

V. S. Varadarajan, Trond Digernes

Publication date: 9 July 2010

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13226-010-0019-8

zbMATH Keywords

divergent seriescontinued fractionsSturmian sequencesfactorial serieshypergeometric continued fractions

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Continued fractions (11A55) Classical hypergeometric functions, ({}_2F_1) (33C05) Convergence and divergence of continued fractions (40A15)

Related Items (2)

Euler and his work on infinite series ⋮ Convergence analysis of the summation of the factorially divergent Euler series by Padé approximants and the delta transformation

Cites Work

• Hypergeometric series and continued fractions
• Euler's 1760 paper on divergent series
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