A Direct Proof of Landen's Transformation

2005/07/06 by Mark B. Villarino, Villarino, Mark B.
Mathematics · #33C05 #33C75 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #General Mathematics (math.GM) #Mathematical and Theoretical Analysis #math.CA #math.GM #msc:33C05 #msc:33C75

paper · pdf · doi:10.48550/arxiv.math/0507108

8 pages

arxiv created 2005/07/06 · openalex publication_date 2005/07/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove Landen's transformation by a direct elementary transformation of infinite series

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