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The Fibonacci sequence has been generalized in many ways. One of them is defined by the relation $t_n=at_{n-1}+t_{n-2}$ if $n$ is even, $t_n=bt_{n-1}+t_{n-2}$ if $n$ is odd, with initial values… (More)

In this article we study symmetric subsets of Rauzy fractals of unimodular irreducible Pisot substitutions. The symmetry considered is reflection through the origin. Given an unimodular irreducible… (More)

Sellami and Sirvent conjectured that the balanced pair algorithm fails for the following pair of Pisot substitutions:
\[ \varphi_0: \begin{array}{l} a \mapsto abc b \mapsto a c \mapsto ac… (More)

In the present article, we introduce a $(p,q)$-analogue of the poly-Euler polynomials and numbers by using the $(p,q)$-polylogarithm function. These new sequences are generalizations of the… (More)