Mañas Baena, Manuel Enrique2023-06-222023-06-222022-08-171578-730310.1007/s13398-022-01296-4https://hdl.handle.net/20.500.14352/71906CRUE-CSIC (Acuerdos Transformativos 2022) © The Author(s) 2022 Thanks financial support from the Spanish "Agencia Estatal de Investigacion" research project [PGC2018-096504-B-C33], Ortogonalidad y Aproximacion: Teoria y Aplicaciones en Fisica Matematica and research project [PID2021-122154NB-I00], Ortogonalidad y aproximacion con aplicaciones en machine learning y teoria de la probabilidad.Contiguous hypergeometric relations for semiclassical discrete orthogonal polynomials are described as Christoffel and Geronimus transformations. Using the Christoffel–Geronimus– Uvarov formulas quasi-determinantal expressions for the shifted semiclassical discrete orthogonal polynomials are obtained.engAtribución 3.0 Españahttps://creativecommons.org/licenses/by/3.0/es/journal articlehttps://doi.org/10.1007/s13398-022-01296-4https://link.springer.com/open access51-73Discrete orthogonal polynomialsPearson equationsCholesky factorizationGeneralized hypergeometric functionsContigous relationsChristoffel transformationsGeronimus transformationsGeronimus–Uvarov transformationsFísica-Modelos matemáticosFísica matemática