TL;DR
This paper surveys the historical and mathematical development of Landen transformations, which are special maps on integrals' coefficients that keep their value unchanged, highlighting their significance in mathematical analysis.
Contribution
It provides a concise overview of Landen transformations' appearances and roles across various mathematical contexts in the literature.
Findings
Landen transformations preserve integral values.
They have applications in elliptic integrals and analysis.
The survey summarizes key historical references.
Abstract
Landen transformations are maps on the coefficients of an integral that preserve its value. We present a brief survey of their appearnce in the literature.
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Taxonomy
TopicsAnalytic and geometric function theory · Advanced Algebra and Geometry · Holomorphic and Operator Theory