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A Sharpening of Wielandt's Characterization of the Gamma Function.

Authors :
Fuglede, Bent
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