Jacobi continued fraction and Hankel determinants of the Thue-Morse sequence

  • Guo-Niu Han
Keywords: Hankel determinant, Hankel transform, binomial transform, Jacobi continued fraction, Thue-Morse sequence, Gros sequence

Abstract

We study the Jacobi continued fraction and the Hankel determinants of the Thue-Morse sequence and obtain several interesting properties. In particular, a formal power series ϕ(x) is being discovered, having the property that the Hankel transforms of ϕ(x) and of ϕ(x2) are identical.

Mathematics Subject Classification (2010): 05A15, 05A19, 11A55, 11B37, 11B50, 11B85, 11C20, 15A15.

Keywords: Hankel determinant, Hankel transform, binomial transform, Jacobi continued fraction, Thue-Morse sequence, Gros sequence

Published
2016-11-25
Section
Articles

Journal Identifiers


eISSN: 1727-933X
print ISSN: 1607-3606