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
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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.

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Cite this paper

Jang, L.-C. , Kim, T. , Le, D.-H. & Park, D.-W. (2001). An application of polylogarithms in the analogs of Genocci numbers. Notes on Number Theory and Discrete Mathematics, 7(3), 65-69.

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