Advances in Theoretical and Applied Mathematics
  • Year: 2007
  • Volume: 2
  • Issue: 2

A note on the p-Adic q-Transfer operator

  • Author:
  • Taekyun Kim1, Leechae Jang2, Seog-Hoon Rim3, Eun-Young Moon3
  • Total Page Count: 5
  • Page Number: 123 to 127

1EECS, Kyungpook National University, Taegu, 702–701, S. Korea. E-mail: tkim64hanmail.net (or tkimknu.ac.kr)

2Department of Mathematics and Computer Science, Kon Kuk University, Chungju, S. Korea. E-mail: leechae-janghanmail.net, leechae.jangkku.ac.kr

3Department of Mathematics Educations, Kyungpook National University, Taegu, 702–701, S. Korea. E-mail: shrimknu.ac.kr

AMS Subject Classification: 11S80, 11B68, 11M99.

Abstract

In this note, we consider p-adic q-transfer operator. From this operator, we derive that the eigenvalues of the p-adic q-transfer operator are Carlitz q-Bernoulli polynomials, and are associated with the eigenvalues .

Keywords

p-adic q-integrals, Bernoulli polynomials, p-adic q-transfer operator