Double Binomial Sums and Double Sums Related with Certain Linear Recerrences of Various Order
Emrah Kılıç and Talha Arıkan* Author for corresponding; e-mail address: ekilic@etu.edu.tr; tarikan@hacettepe.edu.tr
Volume: Vol.45 No.3 (May 2018)
Research Article
DOI:
Received: -, Revised: -, Accepted: -, Published: -
Citation: Kılıç E. and Arıkan T., Double Binomial Sums and Double Sums Related with Certain Linear Recerrences of Various Order, Chiang Mai Journal of Science, 2018; 45(3): 1569-1577.
Abstract
In this paper, we derive new double binomial sums families related with generalized second, third and certain higher order linear recurrences. We also present various parametric generalizations of some results of [1, 2]. Finally we present some interesting double sums including only one binomial coefficient related with certain number sequences of various order. We use generating function methods to prove claimed results.