An application of polylogarithms in the analogs of Genocci numbers

L.-C. Jang, T. Kim, D.-H. Le and D.-W. Park
Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132
Volume 7, 2001, Number 3, Pages 65–69
Full paper (PDF, 170 Kb)

Details

Authors and affiliations

J.L.-C. Jang,
Department of Mathematics and Computer Sciences Konkuk University,
Chungju 380-701, S. Korea

T. Kim
Department of mathematics Education Kongju National University,
Chungnam Kongju, S. Korea

D.-H. Le
Department of mathematics Education Kongju National University,
Chungnam Kongju, S. Korea

D.-W. Park
Department of mathematics Education Kongju National University,
Chungnam Kongju, S. Korea

Abstract

In this note, we will give a new formulae on Genocchi numbers. Also we define poly Genocchi numbers to give the relation between Genocchi number and poly Genocchi number.

Keywords

• Poly logarithms
• Fourier expansions
• Genocchi numbers

AMS Classification

• 42A05
• 33A35
• 30A11

References

1. F.T.Howard. Application of a recurrence for the Bernoulli numbers. J. Number Theory, Vol. 52, 1995, 157-172.
2. T. Kim. Multiple Zeta Values, Di-zeta Values and Their Applications. Lecture Notes in Number Theory ( Kyungnam Univ.), Gu-Duk Publ, 1998.
3. T. Kim, et als. A note on (q-Euler and Genocchi numbers. Proc. Japan Academy, Vol. 77 (2001), 135-141.
4. T. Kim et als. Notes on the (q-Stirling numbers of second kind NNTDM, Vol. 7, 2001, No. 3, 91-94.
5. E. Kreyszig. Advanced Engineering Mathematics. John Wiley and Sons, Inc., 1979.