Some Identities Involving Bernoulli and Stirling Numbers

Journal of Number Theory

Volumn 90, Issue 1, 2001, Pages 130-142

  Shirai, Susumu ^a   Sato, Ken Ichi ^b  

^a MIYAGI UNIVERSITY OF EDUCATION   (Japan)

^b NIHON UNIVERSITY   (Japan)

Author keywords

Bernoulli number; Degenerate Bernoulli number; Stirling number

Indexed keywords

EID: 0347239272     PISSN: 0022314X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jnth.2001.2659     Document Type: Article

References (13)

1. Abramowitz M., Stegun I. A. Handbook of Mathematical Functions. 1964;National Bureau of Standards.
2. Carlitz L. A degenerate Staudt-Clausen theorem. Arch. Math. 7:1956;28-33.
3. Carlitz L. Degenerate Stirling, Bernoulli and Eulerian numbers. Utilitas Math. 15:1979;51-88.
4. Gould H. W. Explicit formulas for Bernoulli numbers. Amer. Math. Monthly. 79:1972;44-51.
5. Goulden I. P., Jackson D. M. Combinatorial Enumeration. 1983;Wiley, New York.
6. Graham R. L., Knuth D. E., Patashnik O. Concrete Mathematics. 1994;Addison-Wesley, Reading.
7. Hansen E. R. A Table of Series and Products. 1975;Prentice-Hall, Englewood Cliffs.
8. Howard F. T. Explicit formulas for degenerate Bernoulli numbers. Discrete Math. 162:1996;175-185.
9. Iwasawa K. Lectures on p-Adic L-Functions. Ann. of Math. Stud. 74:1972;Princeton Univ. Press, Princeton.
10. Jordan C. On Stirling's numbers. Tohoku Math. J. 37:1933;254-278.
11. Jordan C. Calculus of Finite Differences. 1939.
12. Moser L., Wyman M. Asymptotic development of the Stirling numbers of the first kind. J. London Math. Soc. 33:1958;133-146.
13. Nielsen N. Recherches sur les polynomes de Stirling. Det Kgl. Danske Videnskabernes Selskab, Mathematisk-fysiske Meddelser. II:1920;. p. 12.