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University of Illinois at Urbana-Champaign
Schanuel Functions and Algebraic Differential Equations
Abstract
dc:descriptionThe Schanuel class consists of functions that can be obtained from $\doubc$, the variable z, and closed under addition, multiplication and exponentiation by the exponential function. A proof is presented that the minimum order of an algebraic differential equation (ADE) satisfied by a given Schanuel function depends on the number of algebraically independent functions (over $\doubc (z))$ needed to build up the function. This extends a result of A. Babakhanian on towers of exponentials.
Degree
thesis:*- Name thesis:degree_name
- Ph.D.
- Level thesis:degree_level
- Dissertation
- Discipline thesis:degree_discipline
- Mathematics
- Grantor
- University of Illinois at Urbana-Champaign
- Year dc:date
- 2014
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Reinhart, Georg Martin
- Contributors dc:contributor
-
- Rubel, Lee A.
Subjects
dc:subject × 1Identifiers
dc:identifier.*- Identifier
- (UMI)AAI9329143
- OAI identifier oai:identifier
- oai:www.ideals.illinois.edu:2142/72541