Bell numbers, log-concavity, and log-convexity

Acta Applicandae Mathematicae

Volumn 63, Issue 1-3, 2000, Pages 79-87

  Asai, Nobuhiro ^a,d   Kubo, Izumi ^b   Kuo, Hui Hsiung ^c  

^a NAGOYA UNIVERSITY   (Japan)

^b HIROSHIMA UNIVERSITY   (Japan)

^c LOUISIANA STATE UNIVERSITY   (United States)

^d INTERNATIONAL INSTITUTE FOR ADVANCED STUDIES   (Japan)

Author keywords

Bell numbers; Characterization theorem; CKS space; Log concavity; Log convexity; White noise distribution theory

Indexed keywords

EID: 0034260334     PISSN: 01678019     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1010738827855     Document Type: Article

References (8)

1. Asai, N., Kubo, I. and Kuo, H.-H.: General characterization theorems and intrinsic topologies in white noise analysis, Preprint, 1998.
2. Bender, E. A. and Canfield, E. R.: Log-concavity and related properties of the cycle index polynomials, J. Combin. Theory A 74 (1996), 57-70.
3. Canfield, E. R.: Engel's inequality for Bell numbers, J. Combin. Theory A 72 (1995), 184-187.
4. Cochran, W. G., Kuo, H.-H. and Sengupta, A.: A new class of white noise generalized functions, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 1 (1998), 43-67.
5. Engel, K.: On the average rank of an element in a filter of the partition lattice, J. Combin. Theory A 65 (1994), 67-78.
6. Kubo, I.: On characterization theorems for CKS-spaces in white noise analysis, Preprint, 1998.
7. Kubo, I., Kuo, H.-H. and Sengupta, A.: White noise analysis on a new space of Hida distributions, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 2 (1999), 315-335.
8. Kuo, H.-H.: White Noise Distribution Theory, CRC Press, Boca Raton, 1996.