127720 20240319081030.0 doi 10.2298/FIL2217985G sideral 134847 ART-2022-134847 eng Grau, José A class of weighted Delannoy numbers 2022 Access copy available to the general public Unrestricted The weighted Delannoy numbers are defined by the recurrence relation fm,n = α fm−1,n +β fm,n−1 + γ fm−1,n−1 if mn > 0, with fm,n = α mβ n if nm = 0. In this work, we study a generalization of these numbers considering the same recurrence relation but with fm,n = A mB n if nm = 0. More particularly, we focus on the diagonal sequence fn,n. With some ingenuity, we are able to make use of well-established methods by Pemantle and Wilson, and by Melczer in order to determine its asymptotic behavior in the case A, B, α, β, γ ≥ 0. In addition, we also study its P-recursivity with the help of symbolic computation tools. info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 0.8 2022 MATHEMATICS 170 / 329 = 0.517 2022 Q3 T2 MATHEMATICS, APPLIED 210 / 267 = 0.787 2022 Q4 T3 0.368 2022 Mathematics (miscellaneous) 2022 Q3 1.4 2022 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Oller-Marcén, Antonio Varona, Juan 36, 17 (2022), 5985-6007 FILOMAT FILOMAT 0354-5180 668881 http://zaguan.unizar.es/record/127720/files/texto_completo.pdf Versión publicada 1464195 http://zaguan.unizar.es/record/127720/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:127720 articulos driver 2024-03-18-17:07:20 ARTICLE