Séminaire Lotharingien de Combinatoire, B14a (1986).
[Formerly: Publ. I.R.M.A. Strasbourg, 1986, 323/S-14, p. 67-74.]

Dominique Dumont and Germain Kreweras

Sur le développement d'une fraction continue liée à la série hypergéométrique et son interprétation en termes de records et anti-records dans les permutations

Abstract. We study certain continued fractions associated to the confluent hypergeometric series. The coefficients of the appearing polynomials have an interpretation in terms of permutations counted with respect to records and antirecords.


The paper has been finally published under the same title in European J. Combin. 9 (1988), 27-32.