{"paper":{"title":"The iterated logarithmic algebra II: Sheffer sequences","license":"","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Daniel E. Loeb","submitted_at":"1995-02-09T00:00:00Z","abstract_excerpt":"An extension of the theory of the Iterated Logarithmic Algebra gives the logarithmic analog of a Sheffer or Appell sequence of polynomials. This leads to several examples including Stirling's formula and a logarithmic version of the Euler-MacLaurin summation formula.\n  Gr\\^ace \\`a une g\\'en\\'eralisation de la th\\'eorie de l'alg\\`ebre des logarithmes it\\'er\\'es, on definit un analogue logarithmique des suites de polyn\\^omes de Sheffer et d'Appell. Quelques exemples d'applications permettent de d\\'eduire la formule de Stirling ainsi qu'un version logarithmique de la formule de sommation de Euler"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9502220","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}