A formula for the generating functions of powers of Horadam's sequence with two additional parameters
Journal of integer sequences, Tome 14 (2011) no. 5
In this note, we give a generalization of a formula for the generating function of powers of Horadam's sequence by adding two parameters. Thus we obtain a generalization of a formula of Mansour.
Classification :
11B37, 11B39, 05A15
Keywords: second-order linear recurrence, generating function
Keywords: second-order linear recurrence, generating function
@article{JIS_2011__14_5_a6,
author = {K{\i}l{\i}\c{c}, Emrah and Uluta\c{s}, Y\"ucel T\"urker and \"Om\"ur, Ne\c{s}e},
title = {A formula for the generating functions of powers of {Horadam's} sequence with two additional parameters},
journal = {Journal of integer sequences},
year = {2011},
volume = {14},
number = {5},
zbl = {1231.11015},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JIS_2011__14_5_a6/}
}
TY - JOUR AU - Kılıç, Emrah AU - Ulutaş, Yücel Türker AU - Ömür, Neşe TI - A formula for the generating functions of powers of Horadam's sequence with two additional parameters JO - Journal of integer sequences PY - 2011 VL - 14 IS - 5 UR - http://geodesic.mathdoc.fr/item/JIS_2011__14_5_a6/ LA - en ID - JIS_2011__14_5_a6 ER -
%0 Journal Article %A Kılıç, Emrah %A Ulutaş, Yücel Türker %A Ömür, Neşe %T A formula for the generating functions of powers of Horadam's sequence with two additional parameters %J Journal of integer sequences %D 2011 %V 14 %N 5 %U http://geodesic.mathdoc.fr/item/JIS_2011__14_5_a6/ %G en %F JIS_2011__14_5_a6
Kılıç, Emrah; Ulutaş, Yücel Türker; Ömür, Neşe. A formula for the generating functions of powers of Horadam's sequence with two additional parameters. Journal of integer sequences, Tome 14 (2011) no. 5. http://geodesic.mathdoc.fr/item/JIS_2011__14_5_a6/