A Dilogarithmic Extension of Liouville's Theorem on Integration in Finite Terms

Abstract

The result obtained generalizes Liouville's Theorem by allowing, in addition to the elementary functions, dilogarithms to appear in the integral of an elementary function. The basic conclusion is that an associated function to the dilogarithm, if dilogarithms appear in the integral, appears linearly, with logarithms appearing in a non-linear way.

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Document Details

Document Type
Technical Report
Publication Date
Feb 28, 1988
Accession Number
ADA206681

Entities

People

  • Jamil Baddoura
  • Joel Moses

Organizations

  • Massachusetts Institute of Technology

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  • Mathematics

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  • Calculus or Mathematical Analysis