Results 111 to 115 of about 302 (115)

Some basic properties and a two-by-two matrix involving the k-Pell numbers

, 2013
In this paper we consider the k-Pell numbers sequence and present some properties involving the k-Pell numbers. The theoretical basis of using generating matrices for deriving the explicit formula for the term of order n of the k-Pell numbers sequence ...
P. Catarino, P. Vasco
semanticscholar   +1 more source

On Some Identities and Generating Functions for k-Pell-Lucas Sequence

, 2013
We obtain the Binet’s formula for k-Pell-Lucas numbers and as a consequence we obtain some properties for k-Pell-Lucas numbers. Also we give the generating function for the k-Pell-Lucas sequences and another expression for the general term of the ...
P. Catarino, P. Vasco
semanticscholar   +1 more source

On the recursion formula of polynomials generated by rational functions

International Journal of Mathematical Analysis, 2019
Our goal in this work is to found the unified recursion formula of polynomials associated to rational generating functions.
M. Goubi
semanticscholar   +1 more source

Modified k-Pell sequence: some identities and ordinary generating function

, 2013
Some identities of the k-Pell-Lucas sequence and their relationship to the Modified k-Pell sequence allow us to obtain some identities for Modified k-Pell numbers.
P. Catarino, P. Vasco
semanticscholar   +1 more source

MR 2827979 Reviewed Lando, S. K. Hurwitz numbers: on the edge between combinatorics and geometry. Proceedings of the International Congress of Mathematicians, volume IV, 2010, 2444--2470. (Reviewer Francesca Vetro) 14N35 (05A15 14H10 14H30 37K20)

2012
Object of study in this paper are the Hurwitz numbers. They were introduced by Hurwitz in the end of nineteenth century and still they are of great interest. The Hurwitz numbers are important in topology because they enumerate ramified coverings of two-dimensional surfaces, but not only.
openaire   +1 more source