Numbers associated to Symmetric Differential Operators and the Bernoulli Numbers

• Kuwabara, Ruishi

Abstract

By considering a certain symmetric differential operator we introduce a sequence of numbers {Ck}∞k=0, and clarify their properties, which are similar to those of the Bernoulli numbers. It is shown that the generating function of {Ck} is the hyperbolic tangent function, and some (maybe known) properties of the Bernoulli numbers are derived through those of Ck.

Journal

• Journal of mathematics, the University of Tokushima

  Journal of mathematics, the University of Tokushima 45 2011

  The University of Tokushima

Details

• CRID: 1050564287417259648
• NII Article ID: 110008729450
• NII Book ID: AA11595324
• ISSN: 13467387
• Web Site: http://repo.lib.tokushima-u.ac.jp/84170
• Text Lang: en
• Article Type: departmental bulletin paper
• Data Source:
  • IRDB
  • CiNii Articles