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A Sharpening of Wielandt's Characterization of the Gamma Function.
- Source :
- American Mathematical Monthly; Nov2008, Vol. 115 Issue 9, p845-850, 6p
- Publication Year :
- 2008
-
Abstract
- The article reports on the sharpening of Wielandt's characterization of the gamma function. It presents the two conditions that is satisfied with Euler's gamma function. According to the author, the two conditions by themselves do not characterize the gamma function and presents characterization of the gamma function through theorems that Wielandt discovered. He adds that a characterization in the real domain, found in 1922 by other scholars, is well known, while Wielandt's theorem is function-theoretic.
Details
- Language :
- English
- ISSN :
- 00029890
- Volume :
- 115
- Issue :
- 9
- Database :
- Complementary Index
- Journal :
- American Mathematical Monthly
- Publication Type :
- Academic Journal
- Accession number :
- 35542786
- Full Text :
- https://doi.org/10.1080/00029890.2008.11920600