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Algebraic independence properties related to certain infinite products.
- Source :
-
AIP Conference Proceedings . 9/6/2011, Vol. 1385 Issue 1, p116-123. 8p. - Publication Year :
- 2011
-
Abstract
- In this paper we establish algebraic independence of the values of a certain infinite product as well as its all successive derivatives at algebraic points other than its zeroes, using the fact that the logarithmic derivative of an infinite product gives a partial fraction expansion. Such an infinite product is generated by a linear recurrence. The method used for proving the algebraic independence is based on the theory of Mahler functions of several variables. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0094243X
- Volume :
- 1385
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- AIP Conference Proceedings
- Publication Type :
- Conference
- Accession number :
- 65328039
- Full Text :
- https://doi.org/10.1063/1.3630047