Geodesic
Several generating functions for second-order recurrence sequences
Journal of integer sequences, Tome 12 (2009) no. 3
Carlitz and Riordan began a study on closed form of generating functions for powers of second-order recurrence sequences. This investigation was completed by Stănică. In this paper we consider exponential and other types of generating functions for such sequences. Moreover, an extensive table of generating functions is provided.
Classification : 11B39
Keywords: recurrence sequences, Fibonacci sequence, Lucas sequence, pell sequence, pell- Lucas sequence, jacobsthal sequence, jacobsthal-Lucas sequence, generating function, exponential generating function 
@article{JIS_2009__12_3_a4,
     author = {Mez\H{o},  Istv\'an},
     title = {Several generating functions for second-order recurrence sequences},
     journal = {Journal of integer sequences},
     year = {2009},
     volume = {12},
     number = {3},
     zbl = {1233.11014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2009__12_3_a4/}
}
TY  - JOUR
AU  - Mező,  István
TI  - Several generating functions for second-order recurrence sequences
JO  - Journal of integer sequences
PY  - 2009
VL  - 12
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/JIS_2009__12_3_a4/
LA  - en
ID  - JIS_2009__12_3_a4
ER  - 
%0 Journal Article
%A Mező,  István
%T Several generating functions for second-order recurrence sequences
%J Journal of integer sequences
%D 2009
%V 12
%N 3
%U http://geodesic.mathdoc.fr/item/JIS_2009__12_3_a4/
%G en
%F JIS_2009__12_3_a4
Mező,  István. Several generating functions for second-order recurrence sequences. Journal of integer sequences, Tome 12 (2009) no. 3. http://geodesic.mathdoc.fr/item/JIS_2009__12_3_a4/