Branquinho, AmílcarDíaz, Juan E. F.Foulquié Moreno, AnaMañas Baena, Manuel Enrique2026-02-202026-02-202025-03Branquinho, A., Díaz, J. E., Foulquié‐Moreno, A., & Mañas, M. (2025). Classical multiple orthogonal polynomials for arbitrary number of weights and their explicit representation. Studies in Applied Mathematics, 154(3), e70033.0022-252610.1111/sapm.70033https://hdl.handle.net/20.500.14352/132830© 2025 The Author(s). 2025 Acuerdos transformativos CRUE-CSIC. UI/BD/152576/2022This paper delves into classical multiple orthogonal polynomials with an arbitrary number of weights, including Jacobi–Piñeiro, Laguerre of both first and second kinds, as well as multiple orthogonal Hermite polynomials. Novel explicit expressions for general recurrence coefficients, as well as the stepline case, are provided for all these polynomial families. Furthermore, new explicit expressions for type I multiple orthogonal polynomials are derived for Laguerre of the second kind and also for multiple Hermite polynomials.engAttribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/journal article1467-9590https://dx.doi.org/10.1111/sapm.70033https://onlinelibrary.wiley.com/doi/10.1111/sapm.70033open access51-73AT systemsHermiteHypergeometric seriesJacobi–PiñeiroKampé de Fériet seriesLaguerreMultiple orthogonal polynomialsRecurrence relationsFísica-Modelos matemáticos2212 Física Teórica