Session III.7 - Special Functions and Orthogonal Polynomials
Poster
Hahn multiple orthogonal polynomials of type I
Juan Díaz
Universidade de Aveiro, Portugal - This email address is being protected from spambots. You need JavaScript enabled to view it.
Explicit expressions for the Hahn multiple polynomials of type I, in terms of Kampé de Fériet hypergeometric series, are given. Orthogonal and biorthogonal relations are proven. Then, part of the Askey scheme for multiple orthogonal polynomials type I is completed. In particular, explicit expressions in terms of generalized hypergeometric series and Kampé de Fériet hypergeometric series, are given for the multiple orthogonal polynomials of type I for the Jacobi-Piñeiro, Meixner I, Meixner II, Kravchuk, Laguerre I, Laguerre II and Charlier families.
Joint work with Amílcar Branquinho (Universidade de Coimbra, Portugal), Ana Foulquié (Universidade de Aveiro, Portugal) and Manuel Mañas (Universidad Complutense de Madrid, Spain).