Branquinho, AmílcarDíaz, Juan E.F.Foulquié-Moreno, AnaMañas Baena, Manuel Enrique2024-04-042024-04-042023-12-01Branquinho, A., Díaz, J. E., Foulquié-Moreno, A., & Mañas, M. (2023). Hahn multiple orthogonal polynomials of type I: Hypergeometric expressions. Journal of Mathematical Analysis and Applications, 528(1), 127471.0022-247X10.1016/j.jmaa.2023.127471https://hdl.handle.net/20.500.14352/1027212023 Acuerdos transformativos CRUEExplicit 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.engAttribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/journal article1096-0813https://www.sciencedirect.com/science/article/pii/S0022247X23004742open access51-72Multiple orthogonal polynomialsAskey schemeGeneralized hypergeometric functionsKampé de Feriet hypergeometric functionsFísica-Modelos matemáticos2212 Física Teórica