caa a22 4500 44581358X CHVBK 20180317145219.0 cr unu---uuuuu 170323e20110801xx s 000 0 eng 10.1007/s00022-011-0090-2 doi (NATIONALLICENCE)springer-10.1007/s00022-011-0090-2 Sprugnoli Renzo Dipartimento di Sistemi e Informatica, Università di Firenze, Viale Morgagni, 65, 50132, Florence, Italy aut Combinatorial sums through Riordan arrays [Elektronische Daten] [Renzo Sprugnoli] The aim of this work is to show how Riordan arrays are able to generate and close combinatorial identities, by means of the method of coefficients (generating functions). We also show how the same approach can be used to deal with other combinatorial problems, for instance asymptotic approximation and combinatorial inversion. Finally, we propose a method for generating new combinatorial sums by extending the concept of Riordan arrays to bi-infinite matrices. Springer Basel AG, 2011 Combinatorial sums nationallicence Riordan arrays nationallicence method of coefficients nationallicence Journal of Geometry SP Birkhäuser Verlag Basel 101/1-2(2011-08-01), 195-210 0047-2468 101:1-2<195 2011 101 22 https://doi.org/10.1007/s00022-011-0090-2 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00022-011-0090-2 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Sprugnoli Renzo Dipartimento di Sistemi e Informatica, Università di Firenze, Viale Morgagni, 65, 50132, Florence, Italy aut NATIONALLICENCE 773 0- Journal of Geometry SP Birkhäuser Verlag Basel 101/1-2(2011-08-01), 195-210 0047-2468 101:1-2<195 2011 101 22 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer