On a sequence of rational functions

We study a sequence of rational functions considered by Bessis, Mehta and Moussa (1982) and we show that a conjecture given in this paper is not correct. Moreover we give a relation between values of these rational functions and a finite automaton. Nous étudions une suite de fractions rationnelles i...

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Bibliographic Details
Published inTheoretical computer science Vol. 65; no. 2; pp. 123 - 130
Main Author Allouche, Jean-Paul
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 28.06.1989
Elsevier
Subjects
Exact sciences and technology
Logic, set theory, and algebra
Mathematical methods in physics
Physics
Finite automaton
Iteration
Sequence
Rational function
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Summary:We study a sequence of rational functions considered by Bessis, Mehta and Moussa (1982) and we show that a conjecture given in this paper is not correct. Moreover we give a relation between values of these rational functions and a finite automaton. Nous étudions une suite de fractions rationnelles introduite par Bessis, Mehta et Moussa (1982) et nous montrons qu'une conjecture énoncée dans cet article est inexacte. De plus, nous mettons en évidence une relation entre les valeurs de ces fractions rationnelles en certains points et un automate fini.
ISSN:0304-3975
1879-2294
DOI:10.1016/0304-3975(89)90037-6