Orthogonal polynomials and enumeration problems in molecular biology. (Polynômes orthogonaux et problèmes d'énumération en biologie moléculaire.)
An overpartition pair is a combinatorial object associated with the -Gauss identity and the summation. In this paper, we prove identities for certain restricted overpartition pairs using Andrews’ theory of recurrences for well-poised basic hypergeometric series and the theory of Bailey chains.